化简 (2 a/b-b/2 a)^2

解答

化简

(2 \frac{a}{b} - \frac{b}{2} a)^{2}

\frac{( 4 a - a b ^{2} ) ^{2}}{4 b ^{2}}

求解步骤

(2 \cdot \frac{a}{b} - \frac{b}{2} a)^{2}

化简

2 \cdot \frac{a}{b} - \frac{b}{2} a : \frac{4 a - a b ^{2}}{2 b}

= (\frac{4 a - a b ^{2}}{2 b})^{2}

使用指数法则:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 4 a - a b ^{2} ) ^{2}}{( 2 b ) ^{2}}

化简

(2 b)^{2} : 4 b^{2}

= \frac{( 4 a - a b ^{2} ) ^{2}}{4 b ^{2}}

s im pl i f y \frac{n ( n + 1 )}{2 - 2 ^{n} + 1}

s im pl i f y 2^{\frac{1}{2}} \cdot x^{\frac{3}{6}} \cdot y^{\frac{2}{3}}

s im pl i f y \frac{5}{( a + 2 b )} - \frac{2}{( a - 2 b )}

s im pl i f y (\frac{1}{2 x ^{2} + 2 y})^{3}

e x p an d (3 a + 2)^{3}