Factor the difference of two squares.
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B) (6 - w)(6 + w)
D) prime

Question

Factor the difference of two squares.
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B) (6 - w)(6 + w) 
D) prime

Quizplus · Accepted Answer

The difference of two squares can always be factored into the form (a+b)(a-b), where a and b are the square roots of the terms being subtracted. In this case, the terms being subtracted are 6^2 and w^2, so the square roots are 6 and w. Therefore, the difference of two squares is (6+w)(6-w). The difference of two squares can always be factored as (root of first term - root of second term) multiplied by (root of first term + root of second term). In this case, the first term is (6)^2 and the second term is (w)^2, giving us (6 - w) multiplied by (6 + w).

Factor the Difference of Two Squares