Question

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 .

Answer 1

81x2 as (9x)2.(9x)2−49

Make 49 as 72.(9x)2−72 

a2−b2=(a+b)(a−b) 

when a=9x and b=7.(9x+7)(9x−7)

Answer 2

Answer: (Like pretty much all of my other answers, this is late, but for anyone else that needs it.)

The value of a is 9x

The value of b is 7

The product of the prime factors is (9x-7)(9x+7)