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 .

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)