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Factoring Polynomials: Difference of Squares

Question 4 • FL-1200700-Mathematics for College Algebra MIS

(x – 12)(x + 12)(x – 4)(x + 4)(3x – 12)(3x + 12)✔ (3x – 4)(3x + 4)

Answer
A
(x – 12)(x + 12)
B
(x – 4)(x + 4)
C
(3x – 12)(3x + 12)
D
✔ (3x – 4)(3x + 4)

Explanation

Recognize 9x² − 16 as a difference of squares: 9x² = (3x)² and 16 = 4². Use a² − b² = (a − b)(a + b), giving (3x − 4)(3x + 4). This is choice D.

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