8
QuizMultiple Choice

Rational Equations — Quiz

Question 8 • Mathematics III

Janet wants to solve the equation y plus the fraction with numerator y squared minus 5 and denominator y squared minus 1 is equal to the fraction with numerator y squared plus y plus 2 and denominator y plus 1 What should she multiply both sides of the equation by?

Answer
A
y squared plus y plus 2
B
y plus 1
C
y squared minus 1
D
y

Explanation

The denominators are y² − 1 and y + 1. Since y² − 1 factors as (y − 1)(y + 1), it already includes the factor y + 1, so the least common denominator is y² − 1. Janet should multiply both sides by y² − 1, choice C.

AI-written and checked against the verified answer.

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