Factoring Polynomials: Difference of Squares

Question 10 • FL-1200710-Mathematics for College Algebra A

Which expression is equivalent to 36x2 − 25?

Answer

(18x)2 + (−5)2

(18x)2 − (5)2

(6x)2 + (−5)2

(6x)2 − (5)2

Since (6x)² = 36x² and 5² = 25, the expression (6x)² − (5)² equals 36x² − 25. Therefore, the equivalent expression is choice D, (6x)² − (5)².

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