Please help me factor this problem....

targus1990

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Feb 12, 2009
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x^(2n+1)-?2x?^(n+1)+x


I cannot figure out how to factor this equation.. please help!!!
 
Start by factoring an \(\displaystyle x\). Then notice that what's left is a perfect square.
 
targus1990 said:
x^(2n+1)-?2x?^(n+1)+x


I cannot figure out how to factor this equation.. please help!!!

No "equality(=)" sign exist in the problem statement - hence it is not an equation

If the function to be factorized is as stated - then

\(\displaystyle x^{2n+1} \, - \, (2x)^{n+1} \, + x \, = \, x\cdot [x^{2n} \, - \, 2\cdot(2x)^{n} \, + 1] \,\)

no further factorization is possible.
 
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