What is (4x^3)/(12x^2+108x) ?

The solution to (4x^3)/(12x^2+108x) is (x^2)/(3(x+9))

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simplify (4x^3)/(12x^2+108x)

simplify

\frac{4 x ^{3}}{12 x ^{2} + 108 x}

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

Solution steps

\frac{4 x ^{3}}{12 x ^{2} + 108 x}

Factor

12 x^{2} + 108 x : 12 x (x + 9)

= \frac{4 x ^{3}}{12 x ( x + 9 )}

Factor the number:

12 = 4 \cdot 3

= \frac{4 x ^{3}}{4 \cdot 3 x ( x + 9 )}

Cancel the common factor:

4

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

Apply exponent rule:

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

x^{3} = x x^{2}

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

Cancel the common factor:

x

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

4 \cdot 16

2 + \frac{2}{2}

7343

5 a - 8 a + a - 6 a + 20 a

\frac{3}{4} \cdot 100

What is (4x^3)/(12x^2+108x) ?
The solution to (4x^3)/(12x^2+108x) is (x^2)/(3(x+9))