8
AssignmentMultiple Choice

Multiplying and Dividing Rational Expressions

Question 8 • PARTA - EVP: PGCPS ALGEBRA 2 OC (FALL2026) - 793033

The solutions to 15(2a – 2) = 5(a2 – 1) are:

Answer
A
a = 1, a = –1
B
a = 5, a = –1
C
a = 5, a = 1

Explanation

Interpret a2 as a². Divide both sides of 15(2a − 2) = 5(a² − 1) by 5 to get 6a − 6 = a² − 1, or a² − 6a + 5 = 0. Factoring gives (a − 1)(a − 5) = 0, so a = 1 or a = 5. Choice C lists these two solutions.

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