What is ((x^5+1))/((x+1)) ?

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

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simplify ((x^5+1))/((x+1))

simplify

\frac{( x ^{5} + 1 )}{( x + 1 )}

x^{4} - x^{3} + x^{2} - x + 1

Solution steps

\frac{x ^{5} + 1}{x + 1}

Factor

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

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

Cancel the common factor:

x + 1

= x^{4} - x^{3} + x^{2} - x + 1

d^{3} + s^{3}

(- x y^{2}) (2 x y) (- 3 y)

(A - B)^{2}

\frac{10}{3 - i}

\frac{2 + i}{1 + i}

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