展开 x^2((x^3ln(x))/3-(x^3)/9)

解答

展开

x^{2} (\frac{x ^{3} ln ( x )}{3} - \frac{x ^{3}}{9})

\frac{x ^{5} ln ( x )}{3} - \frac{x ^{5}}{9}

求解步骤

x^{2} (\frac{x ^{3} ln ( x )}{3} - \frac{x ^{3}}{9})

使用分配律:

a (b - c) = ab - a c

a = x^{2}, b = \frac{x ^{3} ln ( x )}{3}, c = \frac{x ^{3}}{9}

= x^{2} \frac{x ^{3} ln ( x )}{3} - x^{2} \frac{x ^{3}}{9}

= \frac{x ^{3} ln ( x )}{3} x^{2} - \frac{x ^{3}}{9} x^{2}

化简

\frac{x ^{3} ln ( x )}{3} x^{2} - \frac{x ^{3}}{9} x^{2} : \frac{x ^{5} ln ( x )}{3} - \frac{x ^{5}}{9}

= \frac{x ^{5} ln ( x )}{3} - \frac{x ^{5}}{9}

e x p an d (x - 4) (a + 3 x + 1) (x + 1)

e x p an d (2 x - 3) e^{x^{4}} + e^{x^{4}} \cdot 4 x^{3} (x^{2} - 3 x)

e x p an d \frac{1}{( 2 x - 1 ) ^{5}}

e x p an d \frac{3}{( x - 2 ) ^{3}}

e x p an d sin (x) (2 cos (x) - 1)