7
QuizMultiple Choice

Factoring Polynomials: Difference of Squares — Quiz

Question 7 • Algebra II

Which polynomial can be simplified to a difference of squares?

Answer
A
24 A squared minus 9 A plus 9 A plus 4
B
10 A squared plus 3 A minus 3 A minus 16
C
25 A squared plus 6 A minus 6 A plus 36
D
16 A squared minus 4 A plus 4 A minus 1

Explanation

In choice D, the middle terms cancel: −4A + 4A = 0, leaving 16A² − 1. This is a difference of squares because 16A² = (4A)² and 1 = 1², so it can be written as (4A − 1)(4A + 1).

AI-written and checked against the verified answer.

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