What is (x^4-4x^3)/(3x) ?

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

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simplify (x^4-4x^3)/(3x)

simplify

\frac{x ^{4} - 4 x ^{3}}{3 x}

\frac{x ^{2} ( x - 4 )}{3}

Solution steps

\frac{x ^{4} - 4 x ^{3}}{3 x}

Factor

x^{4} - 4 x^{3} : x^{3} (x - 4)

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

Apply exponent rule:

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

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

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

Cancel the common factor:

x

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

\frac{x ^{2} - 2 x - 3}{x + 1}

(3 - 2 x)^{6}

(7 x - 3)^{6}

\frac{( \frac{1}{x ^{2}} - \frac{1}{x} )}{( \frac{1}{x ^{2}} + \frac{1}{x} )}

\frac{x + 3}{x ^{2} + 5 x + 6}