展开 (3/2-x/4)((2-x)/3)^2

解答

展开

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

\frac{( 2 - x ) ^{2}}{6} - \frac{( 2 - x ) ^{2} x}{36}

求解步骤

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

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

使用分配律:

a (b - c) = ab - a c

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

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

化简

(\frac{2 - x}{3})^{2} \frac{3}{2} - (\frac{2 - x}{3})^{2} \frac{x}{4} : \frac{( 2 - x ) ^{2}}{6} - \frac{( 2 - x ) ^{2} x}{36}

= \frac{( 2 - x ) ^{2}}{6} - \frac{( 2 - x ) ^{2} x}{36}

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

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

e x p an d 0.03 \cdot 1 (1. 2^{1})

s im pl i f y (5 x^{2} - 4) (5 w^{2} - \frac{3}{2})

e x p an d (x - 7) (x - 6)^{8} ln (\frac{x}{5})