Multiply the numerator by the reciprocal of the denominator.

Factor out of .

Factor out of .

Factor out of .

Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .

Write the factored form using these integers.

Cancel the common factor of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Multiply and .

Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .

Write the factored form using these integers.

Cancel the common factor.

Rewrite the expression.

Simplify ((3z-3)/(z^2-2z-3))/((z-1)/(z^2-z-2))