What is ((x^3-x^2-5x-3))/((x^2+2x+1)) ?

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

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simplify ((x^3-x^2-5x-3))/((x^2+2x+1))

simplify

\frac{( x ^{3} - x ^{2} - 5 x - 3 )}{( x ^{2} + 2 x + 1 )}

x - 3

Solution steps

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

Factor

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

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

Factor

x^{2} + 2 x + 1 : (x + 1)^{2}

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

Cancel the common factor:

(x + 1)^{2}

= x - 3

2 (x + y)^{2}

\frac{20}{11}

(9^{\frac{1}{2}})^{3}

\frac{6 !}{1 !}

(- 4) (4 - 25)

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