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

The solution to x^2(4/x-x/3) is (x(12-x^2))/3

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

simplify

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

\frac{x ( 12 - x ^{2} )}{3}

Solution steps

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

Join

\frac{4}{x} - \frac{x}{3} : \frac{12 - x ^{2}}{3 x}

= x^{2} \frac{12 - x ^{2}}{3 x}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{x ^{2} ( 12 - x ^{2} )}{3 x}

Apply exponent rule:

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

x^{2} = xx

= \frac{xx ( 12 - x ^{2} )}{3 x}

Cancel the common factor:

x

= \frac{x ( 12 - x ^{2} )}{3}

0.03916 (1 - e^{(- 2.3 t)}) - 0.015 t

2 (7 i + 8 j) - 3 (8 + \frac{5 π}{6})

\frac{x ^{2}}{( x - 1 ) ^{3}}

(2 x y z^{3} w^{x^{2}} - \frac{4 t}{x})^{2}

(5 + 3 x)^{2}