展开 3(2-2/3 x)^2-(2-2/3 x)^2(2-2/3 x)

解答

展开

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

\frac{8 x ^{3} - 36 x ^{2} + 108}{27}

求解步骤

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

化简

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

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

展开

3 (2 - \frac{2}{3} x)^{2} : 3 \cdot \frac{36 - 24 x + 4 x ^{2}}{9}

= 3 \cdot \frac{36 - 24 x + 4 x ^{2}}{9} - (2 - \frac{2}{3} x)^{3}

展开

- (2 - \frac{2}{3} x)^{3} : - \frac{216 - 216 x + 72 x ^{2} - 8 x ^{3}}{27}

= 3 \cdot \frac{36 - 24 x + 4 x ^{2}}{9} - \frac{216 - 216 x + 72 x ^{2} - 8 x ^{3}}{27}

化简

3 \cdot \frac{36 - 24 x + 4 x ^{2}}{9} - \frac{216 - 216 x + 72 x ^{2} - 8 x ^{3}}{27} : \frac{8 x ^{3} - 36 x ^{2} + 108}{27}

= \frac{8 x ^{3} - 36 x ^{2} + 108}{27}

e x p an d (6 - 2 x) (\frac{7}{2} - 2 x) x

s im pl i f y 15 x + \frac{( 3 - 6 ) x ^{2}}{4}

e x p an d \frac{\partial}{\partial x} (5 e^{y}) + e^{y} (5 x + 5 y)

e x p an d \frac{3}{( v - 6 ) ( v + 2 )}

e x p an d (a - b y)^{4} d y