What is (x^4-5x^3)/(6x) ?

The solution to (x^4-5x^3)/(6x) is (x^2(x-5))/6

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simplify (x^4-5x^3)/(6x)

simplify

\frac{x ^{4} - 5 x ^{3}}{6 x}

\frac{x ^{2} ( x - 5 )}{6}

Solution steps

\frac{x ^{4} - 5 x ^{3}}{6 x}

Factor

x^{4} - 5 x^{3} : x^{3} (x - 5)

= \frac{x ^{3} ( x - 5 )}{6 x}

Apply exponent rule:

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

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

= \frac{x x ^{2} ( x - 5 )}{6 x}

Cancel the common factor:

x

= \frac{x ^{2} ( x - 5 )}{6}

\frac{2}{e - 2} - \frac{9}{e + 2}

- (3 x - 9)

(2 x + 3 y)^{4}

208 - 0.7 (40)

\frac{2}{2} + \frac{3}{2}