Factor the difference of two squares. 1 - (s + 8) 2
A)(s + 9)(-7-s)
B)(s + 9)(25 -s)
C)(25 -s)2
D)(-7 -s)2
E)(s + 9)2

Question

Quizplus · Accepted Answer

The difference of two squares formula is (a-b)(a+b) where a and b are terms. In this case, the terms are s and 8. So applying the formula, we get (s+8)(s-8). The second term can be simplified further to -8. So the expression becomes (s+8)(-s-8). This can be rewritten as (-1)(s+8)(s+8), which is the same as (s+8)² multiplied by -1. Therefore, the answer is (s+9)(-7s-56), which is the same as (s+9)(-7(s+8)). Choice A is the only one that matches this outcome.

Factor the Difference of Two Squares