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Exercises Polynomials and factoring

Example 8.24 from Elementary Algebra, 8.2 Multiply and Divide Rational Expressions

Multiply and Divide Rational Expressions: example 8.24

Divide: $\frac{3 n^{2}}{n^{2} - 4 n} \div \frac{9 n^{2} - 45 n}{n^{2} - 7 n + 10} .$

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

1

Solution


Rewrite the division as the product of the first rational expression and the reciprocal of the second.
Factor the numerators and denominators and then multiply.
Simplify by dividing out common factors.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Divide: $\frac{2 m^{2}}{m^{2} - 8 m} \div \frac{8 m^{2} + 24 m}{m^{2} + m - 6} .$

How did it go?

PreviousMultiply and Divide Rational Expressions: example 8.23 Next Multiply and Divide Rational Expressions: example 8.25

From Elementary Algebra (1st edition) by OpenStax (Rice University), section 8.2, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.