What is (x^4+7x^3)/(3x^2) ?

The solution to (x^4+7x^3)/(3x^2) is (x(x+7))/3

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simplify (x^4+7x^3)/(3x^2)

simplify

\frac{x ^{4} + 7 x ^{3}}{3 x ^{2}}

\frac{x ( x + 7 )}{3}

Solution steps

\frac{x ^{4} + 7 x ^{3}}{3 x ^{2}}

Factor

x^{4} + 7 x^{3} : x^{3} (x + 7)

= \frac{x ^{3} ( x + 7 )}{3 x ^{2}}

Apply exponent rule:

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

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

= \frac{x ^{2} x ( x + 7 )}{3 x ^{2}}

Cancel the common factor:

x^{2}

= \frac{x ( x + 7 )}{3}

(2 x + 2)^{3}

\frac{\frac{8 u}{15}}{\frac{12 v}{25}}

\frac{12}{11} - \frac{11}{12}

z^{1} + 2 z^{2}

\frac{4 π}{3}