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QuizMultiple Choice

Factoring Polynomials: Difference of Squares

Question 1 • Common Core Algebra I B-IC

What is the factorization of 121b4 − 49?

Answer
A
(11b − 7)(11b − 7)
B
(11b + 7)(11b − 7)
C
(11b2 − 7)(11b2 − 7)
D
(11b2 + 7)(11b2 − 7)

Explanation

Rewrite 121b⁴ as (11b²)² and 49 as 7². Using the difference-of-squares rule, x² − y² = (x + y)(x − y), the factorization is (11b² + 7)(11b² − 7), which is choice D.

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