Rational Functions — Test

Question 3 • Algebra II

Which expression is equivalent to the following complex fraction? the fraction with numerator negative 2 over x plus 5 over y and denominator 3 over y minus 2 over x

Answer

the fraction with numerator x squared y squared and denominator open paren negative 2 y plus 5 x close paren times open paren 3 x minus 2 y close paren

the fraction with numerator negative 2 y plus 5 x and denominator 3 x minus 2 y

the fraction with numerator open paren negative 2 y plus 5 x close paren times open paren 3 x minus 2 y close paren and denominator x squared y squared

the fraction with numerator 3 x minus 2 y and denominator negative 2 y plus 5 x

Explanation

Multiply the numerator and denominator by the common denominator xy. The numerator becomes (−2/x + 5/y)xy = −2y + 5x, and the denominator becomes (3/y − 2/x)xy = 3x − 2y. The equivalent expression is (−2y + 5x)/(3x − 2y), which is choice B.

AI-written and checked against the verified answer.

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