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I need help factoring this problem: 8a^4+27ab^3. Thanks!?

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I need help factoring this problem: 8a^4+27ab^3. Thanks!?

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  1. First extract the common factor a, and then factorise as the sum of two cubes:

    8a^4 + 27ab^3

    = a(8a^3 + 27b^3)

    = a( [2a]^3 + [3b]^3 )

    = a(2a + 3b)( [2a]^2 - [2a][3b] + [3b]^2 )

    = a(2a + 3b)( 4a^2 - 6ab + 9b^2).

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