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Math Help - How do I expand and simplify the following?

  1. #1
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    How do I expand and simplify the following?

    a) (u - v + 3w)(2u + 5w)

    b) (2x + y)(3x -2y)(x + 5y)
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  2. #2
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    Quote Originally Posted by brumby_3 View Post
    a) (u - v + 3w)(2u + 5w)

    b) (2x + y)(3x -2y)(x + 5y)
    You sure that's the original problems?
    Seem to be fully simplified as they are now...
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  3. #3
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    Quote Originally Posted by brumby_3 View Post

    Expand and simplify:

    a) (u - v + 3w)(2u + 5w)

    b) (2x + y)(3x -2y)(x + 5y)
    Hi brumby_3,

    a) (u-v+3w)(2u+5w)=

    2u(u-v+3w)+5w(u-v+3w)=

    2u^2-2uv+6uw+5uw-5vw+15w^2


    Just combine like terms and it's simplified.



    b) (2x+y)(3x-2y)(x+5y)=

    (6x^2-xy-2y^2)(x+5y)=

    x(6x^2-xy-2y^2)+5y(6x^2-xy-2y^2)=


    Now, just finish distributing, combine any like terms and it's simplified.
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  4. #4
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    (u - v + 3w)(2u + 5w)

    2u^2 - 2uv + 11uw - 5vw + 15w^2

    So the 2nd one is considered the simplified version?
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  5. #5
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    Quote Originally Posted by Wilmer View Post
    (u - v + 3w)(2u + 5w)

    2u^2 - 2uv + 11uw - 5vw + 15w^2

    So the 2nd one is considered the simplified version?
    The question is : expand and simplify
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  6. #6
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    Quote Originally Posted by running-gag View Post
    The question is : expand and simplify
    Since when does expanding automatically create simplification?
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  7. #7
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    Quote Originally Posted by Wilmer View Post
    Since when does expanding automatically create simplification?
    Technically when all the parentheses are gone.
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