What is (5x^3-5x)/(5x) ?

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

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simplify (5x^3-5x)/(5x)

simplify

\frac{5 x ^{3} - 5 x}{5 x}

(x + 1) (x - 1)

Solution steps

\frac{5 x ^{3} - 5 x}{5 x}

Factor

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

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

Factor

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

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

Cancel the common factor:

5

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

Cancel the common factor:

x

= (x + 1) (x - 1)

a^{8} - 4 a^{4} b^{4} + 4 b^{8}

- 16 + - 25

\frac{4 x ^{3} - 3 x ^{2}}{2 x}

\frac{( \frac{3}{4} + \frac{7}{8} )}{( \frac{2}{5} - \frac{8}{9} )}

\frac{sec ( θ )}{tan ( θ )}