Rewrite the expression using the negative exponent rule .

Combine and .

Write as a fraction with a common denominator.

Combine the numerators over the common denominator.

Rewrite the expression using the negative exponent rule .

To write as a fraction with a common denominator, multiply by .

Combine the numerators over the common denominator.

Factor out of .

Multiply by .

Factor out of .

Factor out of .

Rewrite the expression using the negative exponent rule .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Rewrite the expression using the negative exponent rule .

Multiply the numerator by the reciprocal of the denominator.

Cancel the common factor.

Rewrite the expression.

Multiply and .

Factor out of .

Factor out of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Combine and .

Multiply and .

Reorder terms.

Cancel the common factor.

Rewrite the expression.

Rewrite as .

Factor out of .

Factor out of .

Reorder terms.

Cancel the common factor.

Divide by .

Move to the left of .

Rewrite as .

Simplify ((1+3a^-1)/(2-a^-1))((a^-2-2a^-1)/(3a^-3+a^-2))