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8 November, 23:16

27m^3+64n^3

Answer sheet says it is (3m+4n) (9m^2-12mn+16n^2) can someone tell me where they got the "-12mn" from?

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  1. 8 November, 23:59
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    27m^3+64n^3 is an example of the sum of two cubes.

    There's a factoring formula for that: a^3 + b^3 = (a + b) (a^2 - ab + b^2.

    Thus, 27m^3+64n^3 = (3m + 4n) (9m^2 - 12mn + 16n^2).

    Could also find this out by dividing 3m+4n into 27m^3+64n^3.
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