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I need help solving this for pre calc

I Need Help Solving This For Pre Calc class=

Sagot :

Starting with:

[tex] \frac{2p}{p+1} + \frac{3}{p-1} = \frac{15-p}{p^{2}-1} [/tex]

First, the difference of 2 squares shows that [tex]p^{2} - 1 = (p+1)(p-1)[/tex]

Sub that in and multiply both sides by [tex](p-1)(p+1)[/tex]:

[tex] \frac{2p(p+1)(p-1)}{p+1} + \frac{3(p-1)(p+1)}{p-1} = \frac{(15-p)(p-1)(p+1)}{(p-1)(p+1)} [/tex]

This easily simplifies to [tex]2p(p-1) + 3(p+1) = 15 - p[/tex]

See if you can continue from here. If not, leave a comment and I or someone else can show you the rest.