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Math Help - Polynomial question

  1. #1
    Newbie
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    Unhappy Polynomial question

    According to Edward T. Dowling within Schaum's Outline of Theory and problem of Mathematical methods for business and economics:

    (3x^3 - 5x^2 y^2 - 2y^3)(7x-4y) = 21x^2 - 12x^y - 35x^3y^2 +20x^2y^3 - 14xy^3 + 8y^4

    Can you clarify?

    NOTE: Enclosing the above within is not readable through Latex.
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  2. #2
    Super Member Quacky's Avatar
    Joined
    Nov 2009
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    Windsor, South-East England
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    Re: Polynomial question

    Use the [TEX][ /TEX] tags, not the [tex][/MATH ] ones.

    (3x^3 - 5x^2 y^2 - 2y^3)(7x-4y)

    =7x(3x^3 - 5x^2 y^2 - 2y^3)-4y(3x^3 - 5x^2 y^2 - 2y^3)

    =7x(3x^3)+7x(-5x^2y^2)+7x(-2y^3)-4y(3x^3)-4y(-5x^2y^2)-4y(-2y^3)

    =21x^4-35x^3y^2...

    Finish and simplify and see what you get.
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