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 using the commutative property of multiplication.

Multiply by by adding the exponents.

Move .

Multiply by .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Multiply and .

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Simplify each term.

Multiply by .

Move to the left of .

Multiply by .

Subtract from .

Expand by multiplying each term in the first expression by each term in the second expression.

Multiply by by adding the exponents.

Multiply by .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Move to the left of .

Multiply by by adding the exponents.

Move .

Multiply by .

Multiply by .

Multiply by .

Subtract from .

Add and .

Split the fraction into two fractions.

Split the fraction into two fractions.

Split the fraction into two fractions.

Move the negative in front of the fraction.

Divide ((x^2-14x+45)/(x^2-5x-36))/((x^2*(3x)-10)/(x^2-7x-18))