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The polynomial is a difference of perfect squares. Use the formula a2 – b2 = (a + b)(a – b) to factor completely. 81x2 – 49 The value of a is . The value of b is . The product of the prime factors is .

Respuesta :

To answer your question: Rewrite 81x2 as (9x)2.(9x)2−49Rewrite 49 as 72.(9x)2−72 Both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) where a=9x and b=7.(9x+7)(9x−7)
ayfat23

The value of a is 9 The value of b is 7 The product of the prime factors is [tex](9x+7)(9x +7)[/tex]

What is factorization?

factorization can be regarded as writing a number as well as mathematical object as a product of several factors.

Using, difference of squares formula, as given;

[tex]a^2-b^2=(a+b)(a-b)[/tex]............(1)

We can rewrite[tex](81x^2 - 49 )[/tex]..........(2)

We can factor it out, as [tex](9x+7)(9x-7)[/tex]......(3)

Then if we are to compare equation (1) and (3)

Then we have;[tex]a=9 \\ b=7.[/tex]

Therefore, The value of a is 9 The value of b is 7 The product of the prime factors is [tex](9x+7)(9x-7)[/tex]

Learn more about proportionality at:

https://brainly.com/question/12700460

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