What is (3x^3+9x^2)/(x^2+6x+9) ?

The solution to (3x^3+9x^2)/(x^2+6x+9) is (3x^2)/(x+3)

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simplify (3x^3+9x^2)/(x^2+6x+9)

simplify

\frac{3 x ^{3} + 9 x ^{2}}{x ^{2} + 6 x + 9}

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

Solution steps

\frac{3 x ^{3} + 9 x ^{2}}{x ^{2} + 6 x + 9}

Factor

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

= \frac{3 x ^{2} ( x + 3 )}{x ^{2} + 6 x + 9}

Factor

x^{2} + 6 x + 9 : (x + 3)^{2}

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(x + 3)^{2} = (x + 3) (x + 3)

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

Cancel the common factor:

x + 3

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

(10 x^{2} - x + 1) - (9 x - 2)

\frac{5}{x}

4 + (- 6)

lo g_{\frac{1}{8}} (64)

1 ln (1)

What is (3x^3+9x^2)/(x^2+6x+9) ?
The solution to (3x^3+9x^2)/(x^2+6x+9) is (3x^2)/(x+3)