10
QuizMultiple Choice

Factoring Trinomials: a > 1

Question 10 • FL-1200700-Mathematics for College Algebra MIS

Which equation is true?

Answer
A
9x2 – 25 = (3x – 5)(3x – 5)
B
9x2 – 25 = (3x – 5)(3x + 5)
C
9x2 – 25 = –(3x + 5)(3x + 5)
D
9x2 – 25 = –(3x + 5)(3x – 5)

Explanation

The expression 9x² − 25 is a difference of squares: (3x)² − 5². Using a² − b² = (a − b)(a + b), it factors as (3x − 5)(3x + 5). So the true equation is choice B.

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