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Math Help - Please help to solve

  1. #1
    Cornelius
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    Please help to solve

    9+10ab-a^2-25b^2
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  2. #2
    Bar0n janvdl's Avatar
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    Quote Originally Posted by Cornelius View Post
    9+10ab-a^2-25b^2
    Are you sure this shouldnt be an equation?
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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by Cornelius View Post
    9+10ab-a^2-25b^2
    You can't "solve" an expression like this, one could simplify an expression but
    this is already as simplified as it's going to get.

    Solve is what one can do to an equation and that needs an "=" sign
    some where.

    RonL
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  4. #4
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by Cornelius View Post
    9+10ab-a^2-25b^2
    Are you supposed to factor this?

    9 + (-a^2 + 10ab - 25b^2)

    = 9 - (a^2 -10ab + 25b^2)

    = 9 - (a - 5b)^2

    = 3^2 - (a - 5b)^2 <-- This is the difference of two perfect squares

    = [ 3 + (a - 5b) ] [ 3 - (a - 5b) ]

    = (3 + a - 5b)(3 - a + 5b)

    -Dan
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