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How do I factor this?

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I'm supposed to factor u^3 - 64. The answer they gave is (u^2 + 4u + 16) (u - 4). What are the steps to take to get to that answer?

factoring-polynomials

asked Sep 17, 2014 in ALGEBRA 2 by anonymous

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1 Answer

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The expression is u³ - 64.

u³ - 64 = u³ - 4³

Apply Difference of Two Cubes : a³ - b³ = (a - b)(a² + ab + b²).

= (u - 4)(u² + 4u + 4²)

= (u - 4)(u² + 4u + 16).

answered Sep 17, 2014 by casacop Expert

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