9
QuizMultiple Choice

Factoring Polynomials: Difference of Squares

Question 9 • FL-1200700-Mathematics for College Algebra MIS

What is the factorization of 49b2 − 81?

Answer
A
(7b – 9)(7b – 9)
B
(7b – 9)(7b + 9)
C
(7b2 – 9)(7b2 – 9)
D
(7b2 – 9)(7b2 + 9)

Explanation

Recognize 49b² − 81 as a difference of squares: 49b² = (7b)² and 81 = 9². Apply a² − c² = (a − c)(a + c) to get (7b − 9)(7b + 9), which is choice B.

AI-written and checked against the verified answer.

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