Factor.
-$$( x + 8 ) ^ { 2 } - 9$$
A) $( x - 5 ) ( x - 11 )$
B) $( x + 17 ) ( x - 1 )$
C) $x ^ { 2 } + 16 x + 55$
D) $( x + 11 ) ( x + 5 )$

Question

Quizplus · Accepted Answer

This expression can be factored using the difference of squares formula, $a^2 - b^2 = (a - b)(a + b)$. Here, $a = x + 8$ and $b = 3$, so the factored form is $(x + 8 - 3)(x + 8 + 3) = (x + 5)(x + 11)$, which matches option D.

Factor - (x+8)2−9( x + 8 ) ^ { 2 } - 9(x+8)2−9

Factor
- $( x + 8 ) ^ { 2 } - 9$