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

The solution to longdivision (x^5-5)/(x+1) is x^4-x^3+x^2-x+1-6/(x+1)

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longdivision (x^5-5)/(x+1)

long division

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

x^{4} - x^{3} + x^{2} - x + 1 - \frac{6}{x + 1}

Solution steps

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

Divide

\frac{x ^{5} - 5}{x + 1} : \frac{x ^{5} - 5}{x + 1} = x^{4} + \frac{- x ^{4} - 5}{x + 1}

= x^{4} + \frac{- x ^{4} - 5}{x + 1}

Divide

\frac{- x ^{4} - 5}{x + 1} : \frac{- x ^{4} - 5}{x + 1} = - x^{3} + \frac{x ^{3} - 5}{x + 1}

= x^{4} - x^{3} + \frac{x ^{3} - 5}{x + 1}

Divide

\frac{x ^{3} - 5}{x + 1} : \frac{x ^{3} - 5}{x + 1} = x^{2} + \frac{- x ^{2} - 5}{x + 1}

= x^{4} - x^{3} + x^{2} + \frac{- x ^{2} - 5}{x + 1}

Divide

\frac{- x ^{2} - 5}{x + 1} : \frac{- x ^{2} - 5}{x + 1} = - x + \frac{x - 5}{x + 1}

= x^{4} - x^{3} + x^{2} - x + \frac{x - 5}{x + 1}

Divide

\frac{x - 5}{x + 1} : \frac{x - 5}{x + 1} = 1 + \frac{- 6}{x + 1}

= x^{4} - x^{3} + x^{2} - x + 1 + \frac{- 6}{x + 1}

Simplify

= x^{4} - x^{3} + x^{2} - x + 1 - \frac{6}{x + 1}

x \to 4 lim (9 x + ∣ x - 4 ∣)

x d y + y d x = 3 d x

\frac{1 - cos ( x )}{sin ( x )}

y^{^{'}} + \frac{3 x}{x ^{2} + 4} y = \frac{x}{x ^{2} + 4}, y (0) = 1

y = 4 x^{2}, y = 7 x - 3 x^{2}

What is longdivision (x^5-5)/(x+1) ?
The solution to longdivision (x^5-5)/(x+1) is x^4-x^3+x^2-x+1-6/(x+1)