2
QuizMultiple Select

Factoring Polynomials: Difference of Squares

Question 2 • FL-1200700-Mathematics for College Algebra MIS

Which expressions are equivalent to 25x4 −64? Select three options.25x4 + 40x − 40x − 6425x4 + 13x − 13x − 64(5x2 + 8)(5x2 − 8)(x2 + 13)(x2 – 13)(5x2 – 8)2

Answer
A
25x4 + 40x − 40x − 64
B
25x4 + 13x − 13x − 64
C
(5x2 + 8)(5x2 − 8)
D
(x2 + 13)(x2 – 13)
E
(5x2 – 8)2

Explanation

In A and B, the middle terms cancel: 40x − 40x = 0 and 13x − 13x = 0, leaving 25x⁴ − 64. For C, use the difference-of-squares rule: (5x² + 8)(5x² − 8) = (5x²)² − 8² = 25x⁴ − 64. D equals x⁴ − 169, and E expands to 25x⁴ − 80x² + 64, so neither matches.

AI-written and checked against the verified answer.

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