11
QuizMultiple Choice

Rational Functions — Test

Question 11 • Algebra II

What is the product? 6 times open paren x squared minus 1 close paren times the fraction with numerator 6 x minus 1 and denominator 6 times open paren x plus 1 close paren

Answer
A
6 times open paren x minus 1 close paren squared
B
open paren x plus 1 close paren times open paren 6 x minus 1 close paren
C
6 times open paren x squared minus 1 close paren
D
open paren x minus 1 close paren times open paren 6 x minus 1 close paren

Explanation

Factor the difference of squares: x² − 1 = (x − 1)(x + 1). Then 6(x − 1)(x + 1) · (6x − 1)/[6(x + 1)] simplifies by canceling the common factors 6 and (x + 1), leaving (x − 1)(6x − 1). This matches choice D.

AI-written and checked against the verified answer.

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