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

Rearrange terms.

Apply pythagorean identity.

Factor sin(x)^3-cos(x)^3

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# Factor sin(x)^3-cos(x)^3

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

Rearrange terms.

Apply pythagorean identity.

Factor sin(x)^3-cos(x)^3