What is factor (x^2+7x)/(x^3-5x^2-14x) ?

The solution to factor (x^2+7x)/(x^3-5x^2-14x) is (x+7)/((x+2)(x-7))

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factor (x^2+7x)/(x^3-5x^2-14x)

factor

\frac{x ^{2} + 7 x}{x ^{3} - 5 x ^{2} - 14 x}

\frac{x + 7}{( x + 2 ) ( x - 7 )}

Solution steps

\frac{x ^{2} + 7 x}{x ^{3} - 5 x ^{2} - 14 x}

Factor

x^{2} + 7 x : x (x + 7)

= \frac{x ( x + 7 )}{x ^{3} - 5 x ^{2} - 14 x}

Factor

x^{3} - 5 x^{2} - 14 x : x (x^{2} - 5 x - 14)

= \frac{x ( x + 7 )}{x ( x ^{2} - 5 x - 14 )}

Cancel the common factor:

x

= \frac{x + 7}{x ^{2} - 5 x - 14}

Factor

x^{2} - 5 x - 14 : (x + 2) (x - 7)

= \frac{x + 7}{( x + 2 ) ( x - 7 )}

(w^{2})^{\frac{5}{14}}

- 3 x - 9 = x - 1

2 y^{2} + 7 y - 15

\frac{6 x ^{4} y ^{3}}{12 x y}

(12 + 8 k^{3} + 3 k - 4 k^{2}) + (5 k^{3} + 15 - k + 2 k^{2})

What is factor (x^2+7x)/(x^3-5x^2-14x) ?
The solution to factor (x^2+7x)/(x^3-5x^2-14x) is (x+7)/((x+2)(x-7))