6
practice testMultiple Choice

Practice Test

Question 6 • Mathematics III

Which expression is equivalent to the following complex fraction? the fraction with numerator the fraction with numerator x and denominator x minus 3 and denominator the fraction with numerator x squared and denominator x squared minus 9

Answer
A
the fraction with numerator x and denominator x plus 3
B
the fraction with numerator x plus 3 and denominator 1
C
the fraction with numerator x minus 3 and denominator x
D
the fraction with numerator x plus 3 and denominator x

Explanation

Divide by the lower fraction by multiplying by its reciprocal: (x/(x − 3)) × ((x² − 9)/x²). Factor x² − 9 as (x − 3)(x + 3), then cancel the common factor x − 3 and one factor of x. The result is (x + 3)/x, which is choice A.

AI-written and checked against the verified answer.

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