What is ((x^2+8x-20))/((x^3+9x^2-10x)) ?

The solution to ((x^2+8x-20))/((x^3+9x^2-10x)) is (x-2)/(x(x-1))

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simplify ((x^2+8x-20))/((x^3+9x^2-10x))

simplify

\frac{( x ^{2} + 8 x - 20 )}{( x ^{3} + 9 x ^{2} - 10 x )}

\frac{x - 2}{x ( x - 1 )}

Solution steps

\frac{x ^{2} + 8 x - 20}{x ^{3} + 9 x ^{2} - 10 x}

Factor

x^{2} + 8 x - 20 : (x - 2) (x + 10)

= \frac{( x - 2 ) ( x + 10 )}{x ^{3} + 9 x ^{2} - 10 x}

Factor

x^{3} + 9 x^{2} - 10 x : x (x - 1) (x + 10)

= \frac{( x - 2 ) ( x + 10 )}{x ( x - 1 ) ( x + 10 )}

Cancel the common factor:

x + 10

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

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

sin (x) + (\frac{1}{x})

2 (5 x^{2} - 7) - 3 (x^{2} - 4 x + 1)

f (x) arcsin (x^{2})

\frac{cos ^{2} ( a ) - a}{2 - 1}

What is ((x^2+8x-20))/((x^3+9x^2-10x)) ?
The solution to ((x^2+8x-20))/((x^3+9x^2-10x)) is (x-2)/(x(x-1))