Home > AC > Chapter 10 > Lesson 10.2.2 > Problem10-65

10-65.

Multiply or divide the rational expressions below. Leave your answer in simplified form.

See problem 10-30 for help multiplying and dividing fractional expressions.

1. $\frac{(x+4)(2x-1)(x-7)}{(x+8)(2x-1)(3x-4)}\div\frac{(4x-3)(x-7)}{(x+8)(3x-4)}$

Remember that fractional division can also be expressed by multiplying by the reciprocal of a fraction.

$\frac{(x+4)(2x-1)(x-7)}{(x+8)(2x-1)(3x-4)}\cdot\frac{(x+8)(3x-4)}{(4x-3)(x-7)}$

Multiply the fractions and look for factors that simplify to one.

$\frac{(x+4)}{(4x-3)}$

1. $\frac{2m^2+7m-15}{m^2-16}\cdot\frac{m^2-6m+8}{2m^2-7m+6}$

$\frac{(m+5)}{(m+4)}$