maths

factorise:

a) 4(x-y)^2-12(x-y)(x+y)+9(x+y)^2
b) (a-b)^3+(b-c)^3+(c-a)^3

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  1. a)
    if you let a = x-y and b=x+y, you have
    4a^2 - 12ab + 9b^2 = (2a-3b)^2
    So, you have
    (2(x-y)-3(x+y))^2
    = (2x-2y-3x+3y)^2
    = (y-x)^2

    b) you got me. I don't see any simple factors.

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