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Math Help - Product Rule - Simplifying

  1. #1
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    Product Rule - Simplifying

    i dont get how this

    (2x-3)^4 (3) + 3x (4) (2x-3)^3 (2)

    is simplified to this

    3(2x-3)^3 (2x-3+8x)

    can you please help show the step in between the two equations
    thanks
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  2. #2
    Junior Member rednest's Avatar
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    Quote Originally Posted by Fibonacci View Post
    i dont get how this

    (2x-3)^4 (3) + 3x (4) (2x-3)^3 (2)

    is simplified to this

    3(2x-3)^3 (2x-3+8x)

    can you please help show the step in between the two equations
    thanks
    3.(2x-3)^4+3.(2x-3)^3(4)(2)(x)

    3.(2x-3)^4+3.(2x-3)^3(8x)

    Take 3.(2x-3)^3 as a common factor,

    3(2x-3)^3[(2x-3)+8x] = 3(2x-3)^3 (2x-3+8x)
    Last edited by rednest; June 21st 2008 at 06:26 AM.
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  3. #3
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by rednest View Post
    3.(2x-3)^4+3.(2x-3)^4(4)(2)(x)

    3.(2x-3)^4+3.(2x-3)^4(8x)

    Take 3.(2x-3)^3 as a common factor,

    3(2x-3)^3[(2x-3)+8x] = 3(2x-3)^3 (2x-3+8x)
    Just a case of a typo: Note that the first and second lines have the exponent of (2x - 3) as 4 in the second term. This exponent should be 3.

    -Dan
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