SOLUTION: Factor out the variable that is raised to the smaller exponent {{{-5x^(-2)+x^2}}}

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Question 44990: Factor out the variable that is raised to the smaller exponent
-5x%5E%28-2%29%2Bx%5E2
Answer by AnlytcPhil(1807) About Me  (Show Source):
You can put this solution on YOUR website!
Factor out the variable that is raised 
to the smaller exponent 

-5x-2 + x2

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When you factor xp out of

axp + bxq 

you get

xp(a + bxq-p)

So when you factor x-2 out of

-5x-2 + x2 

you get

x-2(-5 + x2-(-2))

Then you simplify a bit

x-2(-5 + x2+2)

x-2(-5 + x4)

x-2(x4 - 5)

Edwin