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Math Help - Binomial theorem expansion.

  1. #1
    Junior Member
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    Binomial theorem expansion.

    Use the binomial theorem to expand (3x-2y^2)^4

    -6x^5 - 30x^4y^2 - 60x^3y^4 - 60x^2y^4 - 30xy^8 -6y^10

    I think this is right.
    Does any one mind checking my answer? Thank you!
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  2. #2
    MHF Contributor red_dog's Avatar
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    (3x-2y^2)^4=(3x)^4-C_4^1(3x)^3(2y^2)+C_4^2(3x)^2(2y^2)^2-C_4^3(3x)(2y^2)^3+(2y^2)^4=

    =81x^4-216x^3y^2+144x^2y^4-96xy^6+16y^8
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