展开 m^{1/3}(m^2-3m)

解答

展开

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

m^{\frac{7}{3}} - 3 m^{\frac{4}{3}}

求解步骤

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

使用分配律:

a (b - c) = ab - a c

m^{\frac{1}{3}} (m^{2} - 3 m) = m^{\frac{1}{3}} m^{2} - m^{\frac{1}{3}} \cdot 3 m

= m^{\frac{1}{3}} m^{2} - m^{\frac{1}{3}} \cdot 3 m

m^{\frac{1}{3}} m^{2} = m^{\frac{7}{3}}

m^{\frac{1}{3}} \cdot 3 m = 3 m^{\frac{4}{3}}

= m^{\frac{7}{3}} - 3 m^{\frac{4}{3}}

e x p an d \frac{d ^{2}}{d ^{2} x} (y^{4} + 3 y - 4 x^{3} = 5 x + 1)

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

e x p an d \frac{( - 9 x + 8 ) ( x - 8 )}{( - 9 x - 8 ) x}

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

e x p an d \frac{( 4 x - 1 ) ^{2}}{16}