What is (x^3-6x^2)/(x^2+2x-48) ?

The solution to (x^3-6x^2)/(x^2+2x-48) is (x^2)/(x+8)

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simplify (x^3-6x^2)/(x^2+2x-48)

simplify

\frac{x ^{3} - 6 x ^{2}}{x ^{2} + 2 x - 48}

\frac{x ^{2}}{x + 8}

Solution steps

\frac{x ^{3} - 6 x ^{2}}{x ^{2} + 2 x - 48}

Factor

x^{3} - 6 x^{2} : x^{2} (x - 6)

= \frac{x ^{2} ( x - 6 )}{x ^{2} + 2 x - 48}

Factor

x^{2} + 2 x - 48 : (x - 6) (x + 8)

= \frac{x ^{2} ( x - 6 )}{( x - 6 ) ( x + 8 )}

Cancel the common factor:

x - 6

= \frac{x ^{2}}{x + 8}

(x + 8) (3 x + 3)

10 5^{2}

(3 x + 4) (2 x + 3)

- 5 - 0

(- 8 - 30) (310)

What is (x^3-6x^2)/(x^2+2x-48) ?
The solution to (x^3-6x^2)/(x^2+2x-48) is (x^2)/(x+8)