化简 1/2 x(((v^2+v^3))/3)/(2)x(v^{18}+v^3)

解答

化简

\frac{1}{2} x \frac{\frac{( v ^{2} + v ^{3} )}{3}}{2} x (v^{18} + v^{3})

\frac{x ^{2} ( v ^{2} + v ^{3} ) ( v ^{18} + v ^{3} )}{12}

求解步骤

\frac{1}{2} x \frac{\frac{v ^{2} + v ^{3}}{3}}{2} x (v^{18} + v^{3})

化简

\frac{\frac{v ^{2} + v ^{3}}{3}}{2} : \frac{v ^{2} + v ^{3}}{3 \cdot 2}

= \frac{1}{2} x \frac{v ^{2} + v ^{3}}{3 \cdot 2} x (v^{18} + v^{3})

使用分式法则:

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

= \frac{1 \cdot x ( v ^{2} + v ^{3} ) x ( v ^{18} + v ^{3} )}{2 \cdot 3 \cdot 2}

化简

1 \cdot x (v^{2} + v^{3}) x (v^{18} + v^{3}) : x^{2} (v^{2} + v^{3}) (v^{18} + v^{3})

= \frac{x ^{2} ( v ^{2} + v ^{3} ) ( v ^{18} + v ^{3} )}{2 \cdot 3 \cdot 2}

数字相乘:

2 \cdot 3 \cdot 2 = 12

= \frac{x ^{2} ( v ^{2} + v ^{3} ) ( v ^{18} + v ^{3} )}{12}

f a c t or sin^{6} (x) - cos^{6} (x)

s im pl i f y \frac{cos ^{2} ( x )}{2} - \frac{sin ^{2} ( x )}{2}

e x p an d (5 - 2 x)^{3}

s im pl i f y x^{3} - 9 y^{3} + (x + y)^{3}

f a c t or 12 x^{3} - 5 x^{2} + 1