展开 4((w+3)/2)^2

解答

展开

4 (\frac{w + 3}{2})^{2}

w^{2} + 6 w + 9

求解步骤

4 (\frac{w + 3}{2})^{2}

(\frac{w + 3}{2})^{2} = \frac{w ^{2} + 6 w + 9}{2 ^{2}}

= 4 \cdot \frac{w ^{2} + 6 w + 9}{2 ^{2}}

分式相乘:

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

= \frac{( w ^{2} + 6 w + 9 ) \cdot 4}{2 ^{2}}

分解

4 : 2^{2}

= \frac{2 ^{2} ( w ^{2} + 6 w + 9 )}{2 ^{2}}

约分:

2^{2}

= w^{2} + 6 w + 9

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

\frac{d ^{3}}{d x ^{3}} ((y) (2 x^{7} - x^{4} - 3 x^{3}))

e x p an d \frac{( 9 x ^{2} - 3 ) ( x + 3 ) ( x ^{2} + 5 )}{x ^{4}}

e x p an d 2 + (x - 1) e^{- x}

e x p an d \frac{d}{d x} ((a + 1) e^{x}) + c x