Answer
(9$b^{2}$$x$ + 9$b^{2}$$y$) - (16$y$ + 16$x$)
= 9$b^{2}$($x$ + $y$) - 16($x$ + $y$)
= (9$b^{2}$ - 16)($x$ + $y$)
= (3$b$ + 4)(3$b$ - 4)($x$ + $y$)
Work Step by Step
To factor this polynomial, start by grouping like terms. In this case, we will factor our the greatest common factor of each group. Now we will have two polynomial pairs factored, but the first of the pairs can still be simplified. Use the formula A^2 - B^2 = (A + B)(A - B) to factor out that pair, and then you will have your answer.
