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Math Help - Multiplying and Dividing Polynomials?

  1. #1
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    Multiplying and Dividing Polynomials?

    Simplifying?

    I got the answer 36c^4b^6a^2for the problem (-2ab^5)(-6abc)(3c^3).Could you show me how you would solve these expressions?

    (-3a^2b^2+7)(-6ab+2)

    (x+3)(2x^2+7x+1)
    Last edited by deekay930; December 16th 2009 at 05:19 PM.
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  2. #2
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    To simplify the expression (-3a^2b^2 + 7)(-6ab + 2), distribute both -3a^2b^2 and 7 into (-6ab + 2). Then, add the result (because you were adding -3a^2b^2 and 7).

    (-3a^2b^2 + 7)(-6ab + 2) = (-3a^2b^2)(-6ab + 2) + 7(-6ab + 2) = 18a^3b^3 - 6a^2b^2 - 42ab - 14

    To simplify the expression (x + 3)(2x^2 + 7x + 1), distribute both x and 3 into (2x^2 + 7x + 1). Then, add the result.

    (x + 3)(2x^2 + 7x + 1) = x(2x^2 + 7x + 1) + 3(2x^2 + 7x + 1) = 2x^3 + 7x^2 + x + 6x^2 + 21x + 3

    Combine like terms.

    2x^3 + 13x^2 + 22x + 3
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  3. #3
    Senior Member Stroodle's Avatar
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    Hi there.

    There's also some good explanations on how to do these here: Practical Algebra Lessons

    *edit - Oh, and your first answer is correct
    Last edited by Stroodle; December 16th 2009 at 05:51 PM. Reason: Added comment
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  4. #4
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    Sorry, so the expression 2x^2y^2  7xy^3 would equal :
    14x^5y^3
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