Multiplying and Dividing Rational Expressions — Quiz
Question 3 • Algebra: Concepts and Connections
What is the missing factor in the equation? Assume x≠0 and y≠0 open paren the fraction with numerator 6 x squared and denominator 5 y close paren times ? is equal to the fraction with numerator 3 x y squared and denominator 10
Answer
A
the fraction with numerator y cubed and denominator 4 x
B
3 x over 5 y
C
the fraction with numerator 9 x cubed y and denominator 25
D
the fraction with numerator 2 x y squared and denominator 5
Explanation
Let the missing factor be ? and divide both sides by 6x²/(5y). This gives ? = (3xy²/10) ÷ (6x²/5y) = (3xy²/10)(5y/6x²) = y³/(4x). The missing factor is y³/(4x), which is choice A.
AI-written and checked against the verified answer.