Rewrite the division as a fraction.

Rewrite as .

Let . Substitute for all occurrences of .

Factor using the AC method.

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.

Replace all occurrences of with .

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Simplify each term.

Multiply by by adding the exponents.

Use the power rule to combine exponents.

Add and .

Move to the left of .

Multiply by .

Subtract from .

Split the fraction into two fractions.

Split the fraction into two fractions.

Move the negative in front of the fraction.

Move the negative in front of the fraction.

Divide (a^(2n)-a^n-6)÷(a^n+8)