Multiply the numerator by the reciprocal of the denominator.

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.

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.

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.

Rewrite as .

Since both terms are perfect squares, factor using the difference of squares formula, where and .

Cancel the common factor.

Rewrite the expression.

Multiply and .

Factor out of .

Rewrite as .

Factor out of .

Reorder terms.

Cancel the common factor.

Rewrite the expression.

Move the negative in front of the fraction.

Divide ((x^2-7x+10)/(x^2-8x+15))/((4-x^2)/(x^2+3x-18))