What is (x^3+4x^2-21x)/(x^3-9x) ?

The solution to (x^3+4x^2-21x)/(x^3-9x) is (x+7)/(x+3)

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simplify (x^3+4x^2-21x)/(x^3-9x)

simplify

\frac{x ^{3} + 4 x ^{2} - 21 x}{x ^{3} - 9 x}

\frac{x + 7}{x + 3}

Solution steps

\frac{x ^{3} + 4 x ^{2} - 21 x}{x ^{3} - 9 x}

Factor

x^{3} + 4 x^{2} - 21 x : x (x - 3) (x + 7)

= \frac{x ( x - 3 ) ( x + 7 )}{x ^{3} - 9 x}

Factor

x^{3} - 9 x : x (x + 3) (x - 3)

= \frac{x ( x - 3 ) ( x + 7 )}{x ( x + 3 ) ( x - 3 )}

Cancel the common factor:

x

= \frac{( x - 3 ) ( x + 7 )}{( x + 3 ) ( x - 3 )}

Cancel the common factor:

x - 3

= \frac{x + 7}{x + 3}

(z + 1)^{2}

\frac{x - 2}{4 x} + \frac{x + 5}{10 x}

- 8 x - 11 x

lo g_{10} (\frac{5}{4})

\frac{- 8 a ^{2} + 12 ab - 4 b ^{2}}{b - a}

What is (x^3+4x^2-21x)/(x^3-9x) ?
The solution to (x^3+4x^2-21x)/(x^3-9x) is (x+7)/(x+3)