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

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

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

simplify

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

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

Solution steps

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

Factor

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

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

Apply exponent rule:

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

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

= \frac{4 x x ^{2}}{x ( x + 3 )}

Cancel the common factor:

x

= \frac{4 x ^{2}}{x + 3}

(9 x - 5 y) + (3 x + 2 y - 7)

7. 4^{2}

\frac{2}{3} \times \frac{4}{7}

\frac{28}{100}

(x e^{x})^{2}