What is (x^2-6x-16)/(3x^3+6x^2) ?

The solution to (x^2-6x-16)/(3x^3+6x^2) is (x-8)/(3x^2)

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simplify (x^2-6x-16)/(3x^3+6x^2)

simplify

\frac{x ^{2} - 6 x - 16}{3 x ^{3} + 6 x ^{2}}

\frac{x - 8}{3 x ^{2}}

Solution steps

\frac{x ^{2} - 6 x - 16}{3 x ^{3} + 6 x ^{2}}

Factor

x^{2} - 6 x - 16 : (x + 2) (x - 8)

= \frac{( x + 2 ) ( x - 8 )}{3 x ^{3} + 6 x ^{2}}

Factor

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

= \frac{( x + 2 ) ( x - 8 )}{3 x ^{2} ( x + 2 )}

Cancel the common factor:

x + 2

= \frac{x - 8}{3 x ^{2}}

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

\frac{4}{3} + \frac{5}{2}

(x + 3) (x + 2) (x + 1)

5 \cdot 1

6 - 6

What is (x^2-6x-16)/(3x^3+6x^2) ?
The solution to (x^2-6x-16)/(3x^3+6x^2) is (x-8)/(3x^2)