Factor out of .

Factor out of .

Factor out of .

Rewrite as .

Rewrite as .

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

Simplify.

Apply the product rule to .

Raise to the power of .

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Multiply by .

Multiply by .

One to any power is one.

Remove unnecessary parentheses.

Factor 8v^7-v