What is (x^4-2x^3)/(5x^2) ?

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

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simplify (x^4-2x^3)/(5x^2)

simplify

\frac{x ^{4} - 2 x ^{3}}{5 x ^{2}}

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

Solution steps

\frac{x ^{4} - 2 x ^{3}}{5 x ^{2}}

Factor

x^{4} - 2 x^{3} : x^{3} (x - 2)

= \frac{x ^{3} ( x - 2 )}{5 x ^{2}}

Apply exponent rule:

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

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

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

Cancel the common factor:

x^{2}

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

(2 x^{3} y^{2}) (- x^{5} y^{6})

\frac{50}{8}

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

1 - \frac{5}{9}

(x - y)^{6}