Algebra

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Divide the rational expression. Express the quotient as a rational expression in lowest terms.

(x^2+10x+21)/(x^2+11x+28) ÷ (x^2+3x)/(x^2+11x+28)

(i really need to know the steps on how to do this (please just don't give me the answer i already know it)

  • Algebra -

    Rewrite as a product by inverting the denomimator

    [(x^2+10x+21)/(x^2+11x+28)] * [(x^2+11x+28)/(x^2+3x)/]

    Cancel out the (x^2+11x+28)] terms which appear in both numerator and denominator.
    (x^2+10x+21)/(x^2+3x)

    Factor numerator and denomimator. Note that (x+3) is a factor of both. Cancel it out.
    [(x+7)(x+3)]/[x*(x+3)]
    (x+7)/x

  • Algebra -

    THANK YOU SO MUCH!!!! I KEPT TRYING TO DIVIDE EVERYTHING BY THE LCD BUT I JUST KEPT GETTING CONFUSED!

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