To multiply two rational expressions, factor them. Then multiply their numerators and denominators, crossing out any factors that appear in both the numerator and the denominator of the answer.

*Example 1*:
× =
?

= ×

=

=
.

*Example 2*:
× =
?

= ×

=

=
.

To divide by a rational expression, multiply by its reciprocal.

*Example 1*:
÷ =
?

= ×3*x*
^{2}-2*xx*
^{2}-2*x*+4

= ×*x*(3*x*-2)*x*
^{2}-2*x*+4

=

=
.

*Example 2*:
÷ =
?

= ×

= ×

=

=
.