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MAXImum [283]
3 years ago
5

What’s is a,b and c and explain if you can please

Mathematics
2 answers:
LenKa [72]3 years ago
8 0

The greatest common factor is simply which factors of each number are shared between them. Factors are numbers that multiply together to get a certain number.

For example, a) 2x, 4

The factors of 2x are 2 and x

The factors of 4 are 2 and 2

The factors that are shared between them is 2, so the greatest common factor is 2 in this case.

For 2x^2, 4x it's easier to write it out:

The factors of 2x^2 are 2, x, x

The factors of 4x are 2, 2, x

Because they both have 2 and x, the greatest common factor is 2x in this case.

sergij07 [2.7K]3 years ago
7 0

Answer:

Are you VSCO??

Step-by-step explanation:

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see work below

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36a^4b^10 - 81a^16b^20

A)  find the GCF

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36a^4b^10 - 81a^16b^20 = 3*3 a*a*a*a*b*b*b*b*b*b*b*b*b*b *

( 2*2 - 3*3a*a*a*a*a*a*a*a*a*a*a*a b*b*b*b*b*b*b*b*b*b)

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The expression inside the parenthesis can be factored using the difference of squares

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y^2 = 9a^12 b^10   y = 3a^6b^5

(x^2 -y^2) = (x+y)(x-y)

9a^4b^10(4-9a^12b^10) = 9a^4b^10 ( 2+3a^6b^5) ( 2-3a^6b^5)

b) difference of squares  a^2 – b^2 = (a + b)(a – b)

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so a = 6a^2b^5

b^2 = 81a^16b^20

b = 9a^8 b^10

a^2 – b^2 = (a + b)(a – b)

36a^4b^10 - 81a^16b^20 = (6a^2b^5 +9a^8 b^10) (6a^2b^5 -9a^8 b^10)

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Multiply the terms outside the parentheses together

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