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Math Help - Verify simplification please

  1. #1
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    Verify simplification please

    Just want to ensure that I have simplified/solved the following expressions correctly 1) (q^-2) - (r^-2) / (q^-1) - (r^-1) I have (-r -q)/(qr)? 2) 1/2 + 7/y = 2 + 1/y I have y=3? Thanks!
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  2. #2
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by jay1 View Post
    Just want to ensure that I have simplified/solved the following expressions correctly 1) (q^-2) - (r^-2) / (q^-1) - (r^-1) I have (-r -q)/(qr)? 2) 1/2 + 7/y = 2 + 1/y I have y=3? Thanks!
    Do you mean

    \frac{q^{-2}-r^{-2}}{q^{-1}-r^{-1}} ?
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  3. #3
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    Quote Originally Posted by VonNemo19 View Post
    Do you mean

    \frac{q^{-2}-r^{-2}}{q^{-1}-r^{-1}} ?
    Yes! I'm sorry if it was ambiguous
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  4. #4
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by jay1 View Post
    Yes! I'm sorry if it was ambiguous
    Then we would multiply Den. and Num. by q^2r^2 giving \frac{r^2-q^2}{r^2q-q^2r}=\frac{(r+q)(r-q)}{qr(r-q)}=\frac{r+q}{qr}
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