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Thread: problem

  1. #1
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    problem

    4p + 4pq + pq^2 + 2p^2 + p^2q + 4q + 2q^2-16pq / q(p+2)
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  2. #2
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    That's an "expression", not a "problem"! It only becomes a problem when you are told to do something with it- and I don't see that here. What are you supposed to do? And is that final q(p+2) dividing only -16pq or is it dividing the entire expression to the left (in which case you should have parentheses)?
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  3. #3
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    Quote Originally Posted by the undertaker View Post
    4p + 4pq + pq^2 + 2p^2 + p^2q + 4q + 2q^2-16pq / q(p+2)
    Hi the undertaker,

    Is the problem simplify the following?

    $\displaystyle \frac{4p + 4pq + pq^2 + 2p^2 + p^2q + 4q + 2q^2-16pq}{q(p+2)}$

    If so note that

    $\displaystyle q(p+2)^2=p^2+4pq+4q$

    $\displaystyle q^2(p+2)=pq^2+2q^2$

    $\displaystyle 2p(p+2)=2p^2+4p$

    and so the expression becomes

    $\displaystyle \frac{q(p+2)^2+q^2(p+2)+2p(p+2)-16pq}{q(p+2)} = q+p+2+\frac{2p}{q}-\frac{16p}{p+2}$

    But perhaps that can be simplified more...
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