RATL 2 | Lesson 3 | Practice (Multiplying Rational Expressions)

Multiplication the rational numbers expressions. Use the same strategies you would use to multiply rational numbers.

1) Factor numerators and denominators.

2) Look for forms that are equivalent in the numerator and denominator.

3) Divide out all forms of one.

4) Multiply the remaining factors in the numerator and denominator.

Hint: it saves work when all polynomials are factored completely before multiplying.

1) \(\Large \frac{x-3}{x+4}\cdot{\frac{x+3}{x+7}}\)

2) \(\Large \frac{x^2+6x+9}{x^2-9}\cdot{\frac{3x-9}{x^2+2x-3}}\)

3) \(\Large \frac{2x^2+19x+35}{x^2+x-12}\cdot{\frac{2x^2-5x-3}{x^2+4x-21}}\)

4) \(\Large \frac{x^2+4x+4}{x-7}\cdot{\frac{x-7}{x^2+5x+6}}\)

Answers (not in order):

\(\Large \frac{3}{x-1} \hspace{5mm} \frac{x+2}{x+3} \hspace{5mm} \frac{x^2-9}{x^2+11x+28} \hspace{5mm} \frac{4x^2+12x+5}{x^2+x-12}\)


Try This!

Go to Try This! (Dividing Rational Expressions)