What is ((x^5+10x^3-11))/((x-1)) ?

The solution to ((x^5+10x^3-11))/((x-1)) is x^4+x^3+11x^2+11x+11

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simplify ((x^5+10x^3-11))/((x-1))

simplify

\frac{( x ^{5} + 10 x ^{3} - 11 )}{( x - 1 )}

x^{4} + x^{3} + 11 x^{2} + 11 x + 11

Solution steps

\frac{x ^{5} + 10 x ^{3} - 11}{x - 1}

Factor

x^{5} + 10 x^{3} - 11 : (x - 1) (x^{4} + x^{3} + 11 x^{2} + 11 x + 11)

= \frac{( x - 1 ) ( x ^{4} + x ^{3} + 11 x ^{2} + 11 x + 11 )}{x - 1}

Cancel the common factor:

x - 1

= x^{4} + x^{3} + 11 x^{2} + 11 x + 11

\frac{1}{x} + \frac{\frac{1}{4}}{\frac{1}{x}}

x^{2} + \frac{x}{4} - \frac{1}{8}

w^{- 2} 3 + w^{- 2} 8

30 x + 90 y

10 c^{1} + 10 c^{3} + 10 c^{5} + 10 c^{7}

What is ((x^5+10x^3-11))/((x-1)) ?
The solution to ((x^5+10x^3-11))/((x-1)) is x^4+x^3+11x^2+11x+11