Rewrite as .

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

Simplify.

Multiply by .

One to any power is one.

Cancel the common factor.

Divide by .

Simplify (x^3-1)/(x-1)

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# Simplify (x^3-1)/(x-1)

Rewrite as .

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

Simplify.

Multiply by .

One to any power is one.

Cancel the common factor.

Divide by .

Simplify (x^3-1)/(x-1)