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Math Help - Factoring

  1. #1
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    Factoring

    factor:

    5x(a+b) +3(a+b)

    I know the answer is (a-b) (5x+3)

    But how would you get that answer?
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  2. #2
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    Quote Originally Posted by mathhelp23 View Post
    factor:

    5x(a+b) +3(a+b)

    I know the answer is (a-b) (5x+3)

    But how would you get that answer?

    If you are really clueless multiply everything out

    5x(a+b) +3(a+b)
    5xa + 5xb + 3a + 3b

    Collect like terms

    5xa + 3a + 5ax +3b

    a(5x+3) + b( 5x +3)

    Let say w = ( 5x +3)

    So this becomes

    aw + bw

    collect like terms again

    w( a+b)


    ( 5x +3)(a+b)

    Saladus
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