Mathematics College

Simplify: (ab + bc) (ab - bc)

Answers

Answer 1

[tex] \: \: \: \: [/tex]

[tex] = {a}^{2} \: {b}^{2} - {b}^{2} \: {c}^{2} [/tex]

Step-by-step explanation:

[tex](ab + bc)(ab - bc)[/tex]

use ( a + b ) ( a + b ) = a² - b² to simply the product

[tex](ab {)}^{2} - (bc {)}^{2} [/tex]

to raise a product to a power ,raise each factor to that power

[tex] = {a}^{2} {b}^{2} - {b}^{2} {c}^{2} [/tex]

hope it helps

Related Questions

can someone pleasw helppppppp meee

Answers

It would be 2,5, and 6. The mode means the number that is repeating the most. Since 2, 5, and 6 all appear 3 times, that is the mode

Answer:

D. Modes are 2, 5, and 6

Step-by-step explanation:

The mode represents the most frequently occurring value in a data set. A data set may have more than one mode. It is one of the measures of central tendency..

Select Is a Function or Is not a Function to correctly classify each relation.

Answers

Answer:

Is a functionIsn't a functionIs a functionIsn't a function

Step-by-step explanation:

Firs we need to understand what is a function-

from a set [tex]X[/tex] to a set [tex]Y[/tex] is an assignment of an element of [tex]Y[/tex] to each element of [tex]X[/tex].

This mean's that an element in [tex]X[/tex] can't have multiples values in [tex]Y[/tex], then if you find a coordinate with two different values, isn't a function.

Take for example the second data set:

[tex]\{(2, 3), (2, 5), (3,6), (9,4)\}[/tex]

All is good except for the first two coordinates because [tex]x[/tex] is define with two different values, then you can determinate that isn't a function.

Maybe you're confuses because exist some graphs that repeat values in [tex]x[/tex] as the graph of a circle, but this in reality isn't a function, is a relation. A relation can repeat values in the set [tex]X[/tex] infinity times but never is going to be a function.

Mr. White has 2 suits, 5 dress shirts, and
6 ties. How many different clothing combinations can he make?

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Answer:

Step-by-step explanation:

Use the counting principle.

2 × 5 × 6 = 60

Answer: 60

f(x)=x+1/x-2
find the inverse

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X=1/2
Could be your answer

Pls help I’ll brainlest ASAP

Answers

Answer:

Slope: -1/4x

y-int: 2

Step-by-step explanation:

HELP PLEASE
To divide the function f(x) by (x2-4x-12), we find that the quotient is Q(x) and the
remainder is (x+6). If f(-2)=a and f(6)=b, what is the value of b/a?

Answers

Answer:

b/a = 3

Step-by-step explanation:

f(x) / (x²-4x-12) = Q(x) + (x+6)/(x²-4x-12)

f(x) = Q(x)*(x²-4x-12) + (x+6)

x= - 2 ... when f(x) is f(-2) x²-4x-12 = 4+8-12 = 0

a = f(-2) = Q(x)*0 + (-2 + 6) = 4

x= 6 ... when f(x) is f(6) x²-4x-12 = 36-24-12 = 0

b = f(6) = Q(x)*0 + (6 + 6) = 12

b/a = 12/4 = 3

What is the solution to 12x=4x2+9? x=23

Answers

Answer:

x = 17/12

Step-by-step explanation:

12x = 4 x 2 +9

12x = 8 +9

12x = 17

x = 17/12 After divided

how important is the 3 candle of advent?

Answers

[tex]\large\huge\green{\sf{Answer:-}}[/tex]

The third candle which is pink or rose, represents Gaudette Sunday and the joy that the birth of Christ brought to the world. Traditionally, on Gaudette Sunday one takes a break from Advent fasting to experience the joy of the day.

12 tenths+ 9 tenths = tenths = ones = tenths

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Explain: it’s equals to 20

Write as a product 4x^4+8x^3-2x^2

Answers

Answer:

764x

Step-by-step explanation:

4^4=256

8^3=512

2^2=4

256-4+512=764

764x

Answer:

2x^2(2x^2+4x-1)

Step-by-step explanation:

The GCF is 2x^2 so pull apart each number and you will get your answer.

Find the length of the hypotenuse.Round to the nearest 10th if necessary.(40pts)

Answers

Answer:

5 is our hypotenuse

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

c is our hypotenuse

[tex]3^{2} + 4^{2} = c^2[/tex]

[tex]9 + 16 = 25[/tex]

[tex]25 = c^{2}[/tex]

c = 5

5 is our hypotenuse

Answer:

x = 5

Step-by-step explanation:

[tex]c=\sqrt{a^2+b^2} \\a= \sqrt{3^2+4^2} \\c=\sqrt{9+16} \\c= \sqrt{25} \\c= 5[/tex]

What is Power rule, Product rule, Quotient rule and Chain rule? Detail please

Answers

Power Rule|
When raising an exponential expression to a new power multiply the exponents.

For and Example|
Simplify: 7a^4 b^6)2

Solution: Each factor within the parentheses should be raised to the 2nd power.
7a^4 b^6)2 = 7^2(a4)2(b^6)2

You then simplify using the power Rule of Exponents.

7a^4 b^6)2 = 7^2(a4)2(b^6)2 = 49a^8 b^12

The power rule states that this derivative is n times the function raised to the (n-1) the power times the derivative of the function.

Product Rule|
When multiplying exponential expressions that have the same base, add the exponents.

Example:
Multiply: 4x^3 • -6x^2

Solution:
Multiply coefficients: 4 • -6 = -24

Use the product rule to multiply variables.
X^3 • x^2 = x^3 + 2 = x^5
4x^3 • -6x^2 = -24x^5

The power of product rule is a method for simplifying exponents and it states that a term raised to a power is equal to the product of its factors raised to the same power.
The product of two or more numbers is the result of multiplying these numbers.

Quotient Rule|
When dividing exponential expressions that have the same base, subtract the exponents.

Example:
Simplify: 8x^6/2x^3 = 4x^3

Solution:
Divide coefficients:
8 /2 = 4

Use the Quotient rule to divide variables:
X^6/x^3 = x6 - 3 = x^3
8x^6/ 2x^3 = 4x^3

The Quotient of two numbers is the result of the division of the numbers.

Chain Rule|
The general power rule is a special case of the chain rule. It is useful when finding the derivative of a function that is raised to the nth power.

((Hey I’m really tired so I hope this is good and helps you good luck!!))

Good Night fools!!!

Find all perfect squares between 100 and 300.

Answers

Answer: The answer in the first image.

Explanation: The explanation is in the second image.

Pls pls pls pls pls pls pls pls ahh

Answers

Answer:

DO YOURE WORK!

Step-by-step explanation:

Please.

Hanna has 16 pencils. She gets 3 new
pencils from Mrs. Lewis. She divides
the pencils equally between her 2
sisters. How many pencils does each
sister get?

Answers

Answer:

9.5

Step-by-step explanation:

If Hanna starts off with 16, and Mrs. Lewis GIVES(add) her 3 more, then she has 19 because 16+3=19. Then we divide by 2 because there are 2 sisters. so 19/2 = 9.5

Hello! I hope this helped you. If this is wrong please let me know. Thank you.

Plz help me NOW I will mark you brainliest

Answers

Let x be the percentage of p.Therefore, [tex]m\% \: \: of \: \: n = x\% \: \: of \: \: p \\ = > \frac{mn}{100} = \frac{px}{100} \\ = > mn = \frac{px}{100} \times 100 \\ = > mn = px \\ = > \frac{mn}{p} = x[/tex]

Answer:

[tex] \frac{mn}{p} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

How long will it take $5500 to grow to $7400 at an interest rate of 5% it the interest is compounded continuouslyRound the number of years to the
nearest hundredth
see score

Answers

Answer:

5.93 years

Step-by-step explanation:

The continuous compounding formula tells you the amount after t years will be ...

A = Pe^(rt) . . . . principal P compounded continuously at annual rate r for t years

7400 = 5500e^(0.05t)

ln(7400/5500) = 0.05t . . . . divide by 5500, take natural logs

t = 20×ln(74/55) ≈ 5.93

It will take about 5.93 years for $5500 to grow to $7400.

Select the correct answer.

What is the symbolic representation for this argument?

If a polygon has exactly three sides, then it is a triangle

Jeri drew a polygon with exactly three sides.

Therefore, Jeri drew a triangle.

Answers

Answer:

jeri drew a plgon with exatly three sides

Answer:

could you add the choices please

Step-by-step explanation:

it doesnt help without the choices

Help help help help help please please

Answers

Answer:

Angle 8

Step-by-step explanation:

Refer to the attached picture

Please help me ASAPPPPP

Answers

Answer:

20 0-6

Step-by-step explanation:

x= (2,0)

y= (0,-6)

ements
Question 8
1 pts
(08.02 MC)
Rewrite x2 - 2x - 3-0 in the form (x -a)? - b, where a and b are integers, to determine the a and b
values.
Oa-4 and b3
O a-3 and b 2
Oa-2 and b 1
Oa - 1 and b 4
Question 9
1 pts

Answers

Step-by-step explanation:

Given,

x² - 2x - 3 = 0

x² - (3x - x) - 3 = 0

x² - 3x + x - 3 = 0

x(x - 3) + 1(x - 3) = 0

(x - 3)(x + 1) = 0

x = 3 & -1

Now,

a and b are integers

a = 3 & b = -1 or

a = -1 & b = 3

Answer:

a = 3 , b = -1 or a = -1 , b = 3

Step-by-step explanation:

x² - 2x - 3 = 0

x² - 3x + 1x - 3 = 0

x ( x - 3 ) +1 ( x - 3 ) = 0

( x - 3 ) ( x + 1 ) = 0

So,

x - 3 = 0 or x + 1 = 0

x = 0 + 3 x = 0 - 1

x = 3 x = -1

Therefore,

( x - a) ( x - b )

As a and b are integers

It can be,

a = 3 , b = -1 or a = -1 , b = 3

Hope this helps you.

Let me know if you have any other questions :-)

(2a+15ab)-(7a+6b-10ab)

Answers

Answer:

Step-by-step explanation:

-5a - 6b + 25ab

add like terms

Select the correct answer.
Which phrase best describes the relationship indicated by the scatter plot?
a. constant Correlation
b. negative Correlation
c. Positive correlation
d. no correlation

Answers

Answer:

no correlation

Step-by-step explanation:

they arent in a line

The phrase that best describes the relationship indicated by the scatter plot is D. No correlation

What is a Scatter Plot?

This refers to the use of dots to represent values for two different numeric variables.

Hence, we can see that the best description that can be used to show the relationship in the scatter plot is option D which is no correlation because they are not in a line.

Answers

Answer:

4378

Step-by-step explanation:

Its clearly given that each term is multiplied by 3

I.e- 2×3 = 6

6×3= 18

and so on....

so here the G.P series is a=2 and r=3

To find the 8th term ar^8-1

ar^7 = 2×3^7

= 2×2187

= 4378

How can multistep linear equations be written to represent different
scenarios?

Answers

Answer:

Linear equations use one or more variables where one variable is dependent on the other. Almost any situation where there is an unknown quantity can be represented by a linear equation, like figuring out income over time, calculating mileage rates, or predicting profit

What is the next term of the AP √2, √8 , √18 ......?

Answers

Given terms in an AP are √2,√8,√18

√8 = √(2×2×2) = 2√2

√18 = √(2×3×3) = 3√2

The AP : √2,2√2,3√2

next term = 4√2> √(4×4×2)

⇛ √32

The next term of the AP = √32.

also read similar questions: The next term of the AP root 8, root 18,root 32 is...........

https://brainly.com/question/17287744?referrer

Which term of the AP:3, 8, 13, 18,...,is 78?

https://brainly.com/question/15380012?referrer

What is the inverse of y=5x-5

Answers

Answer:the answer is in the picture below

Step-by-step explanation:plz give brainlist

find the x and y intercepts of the following linear function and draw the graph: 2x-8y=-18

Answers

Answer:

Step-by-step explanation:

2x - 8y = - 18

- 8y = - 2x - 18

y = ¼x + 2¼

y intercept occurs when x = 0, so b = 2¼ (0, 2¼)

x intercept occurs when y = 0

0 = ¼x + 2¼

¼x = - 2¼

x = -9 (-9, 0)

NEED NOW PLEASE.....

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Answer:

2+(-6)

Step-by-step explanation:

hope this helps

HELP PLEASEE
What is the range of the graph below?

Answers

Answer:

Step-by-step explanation:

range is how far the graph goes from bottom to top.

The answer is d hope it helps.

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Simplify: (ab + bc) (ab - bc)​

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Simplify: (ab + bc) (ab - bc)