What is (x^3-x)/(x^2-6x+5) ?

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

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simplify (x^3-x)/(x^2-6x+5)

simplify

\frac{x ^{3} - x}{x ^{2} - 6 x + 5}

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

Solution steps

\frac{x ^{3} - x}{x ^{2} - 6 x + 5}

Factor

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

= \frac{x ( x + 1 ) ( x - 1 )}{x ^{2} - 6 x + 5}

Factor

x^{2} - 6 x + 5 : (x - 1) (x - 5)

= \frac{x ( x + 1 ) ( x - 1 )}{( x - 1 ) ( x - 5 )}

Cancel the common factor:

x - 1

= \frac{x ( x + 1 )}{x - 5}

(x + y - 1) (x + y + 1)

4 \div \frac{3}{2}

2 x^{2} z^{2} - 4 x yz + 12 x^{3} z^{3}

4 (s + 10 t)

\frac{5 z ^{3} + z ^{2} - z}{3 z}

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