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Math Help - Combining skills : Simplyfing Expressions.

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    Combining skills : Simplyfing Expressions.

    Explain how it solved?



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  2. #2
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    Quote Originally Posted by deekay930 View Post
    Explain how it solved?



    The first one is different from the second.

    1) \frac{(2ab^2 + 6)(-4ab + 2)}{2a^2}

    Take out a common factor of 2

    =\frac{2(ab^2 + 3)(-4ab + 2)}{2a^2}

    Cancel the 2s in the numerator and denominator

    =\frac{(ab^2 + 3)(-4ab + 2)}{a^2}

    Now you could either expand the numerator, or take out a common factor of -2, whichever you think is simpler.


    2) \frac{(2ab^2 + 6) + (-4ab^2 + 2)}{2a^2} = \frac{2ab^2 + 6 - 4ab^2 + 2}{2a^2}

    Collect like terms in the numerator

    =\frac{8 - 2ab^2}{2a^2}

    Take out the common factor of 2 in the numerator

    =\frac{2(4 - ab^2)}{2a^2}

    Cancel out the 2 in the numerator and denominator

    =\frac{4 - ab2}{a^2}.
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