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Back to Perform rational expression operations — Problem 3 · Task Set 22

Exercises: Rational Expression Arithmetic (Add, Subtract, Multiply, Divide)

This is an advanced (+) topic. Work through each section in order. Factor all numerators and denominators before multiplying or dividing. State domain restrictions for all problems.

Grade 10·19 problems·~45 min·Common Core Math - HS Algebra·standard·hsa-apr-d-7
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Fluency Practice

1.

Divide: x2−4x2+5x+6÷x−2x+3\dfrac{x^2 - 4}{x^2 + 5x + 6} \div \dfrac{x - 2}{x + 3}.

Rewrite as multiplication by the reciprocal, factor, cancel, and simplify. State domain restrictions.