What is (3x^3+27x^2)/(x^2+12x+27) ?

The solution to (3x^3+27x^2)/(x^2+12x+27) is (3x^2)/(x+3)

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simplify (3x^3+27x^2)/(x^2+12x+27)

simplify

\frac{3 x ^{3} + 27 x ^{2}}{x ^{2} + 12 x + 27}

\frac{3 x ^{2}}{x + 3}

Solution steps

\frac{3 x ^{3} + 27 x ^{2}}{x ^{2} + 12 x + 27}

Factor

3 x^{3} + 27 x^{2} : 3 x^{2} (x + 9)

= \frac{3 x ^{2} ( x + 9 )}{x ^{2} + 12 x + 27}

Factor

x^{2} + 12 x + 27 : (x + 3) (x + 9)

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

Cancel the common factor:

x + 9

= \frac{3 x ^{2}}{x + 3}

(x + 3)^{3} - 12

8 d^{3} - 1

\frac{90}{15}

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

(2 cos (x)) (cos (2 x))

What is (3x^3+27x^2)/(x^2+12x+27) ?
The solution to (3x^3+27x^2)/(x^2+12x+27) is (3x^2)/(x+3)