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受欢迎的代数 >

展开-((w)(L+x)^2)/2+(2Lwx)

解答

展开

- \frac{( w ) ( L + x ) ^{2}}{2} + (2 L w x)

解答

- \frac{w L ^{2}}{2} - \frac{w x ^{2}}{2} + w Lx

求解步骤

- \frac{( w ) ( L + x ) ^{2}}{2} + (2 L w x)

去除括号:

(a) = a

= - \frac{w ( L + x ) ^{2}}{2} + 2 L w x

\frac{w ( L + x ) ^{2}}{2} = \frac{w L ^{2} + 2 w Lx + w x ^{2}}{2}

= - \frac{w L ^{2} + 2 w Lx + w x ^{2}}{2} + 2 w Lx

将项转换为分式:

2 w Lx = \frac{2 L w x 2}{2}

= - \frac{w L ^{2} + 2 w Lx + w x ^{2}}{2} + \frac{2 L w x \cdot 2}{2}

因为分母相等，所以合并分式:

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

= \frac{- ( w L ^{2} + 2 w Lx + w x ^{2} ) + 2 L w x \cdot 2}{2}

数字相乘:

2 \cdot 2 = 4

= \frac{- ( w L ^{2} + 2 w Lx + w x ^{2} ) + 4 w Lx}{2}

乘开

- (w L^{2} + 2 w Lx + w x^{2}) + 4 L w x : - w L^{2} - w x^{2} + 2 w Lx

= \frac{- w L ^{2} - w x ^{2} + 2 w Lx}{2}

使用分式法则:

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

\frac{- w L ^{2} - w x ^{2} + 2 w Lx}{2} = - \frac{w L ^{2}}{2} - \frac{w x ^{2}}{2} + \frac{2 w Lx}{2}

= - \frac{w L ^{2}}{2} - \frac{w x ^{2}}{2} + \frac{2 w Lx}{2}

数字相除:

\frac{2}{2} = 1

= - \frac{w L ^{2}}{2} - \frac{w x ^{2}}{2} + w Lx

流行的例子

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

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e x p an d \frac{1}{( s + 9 ) ( s ^{2} + k ^{2} )}