展开 ((sqrt(3)x-5sqrt(3))(5-x))/2

解答

展开

\frac{( 3 x - 5 3 ) ( 5 - x )}{2}

- \frac{3 x ^{2}}{2} + 53 x - \frac{25 3}{2}

求解步骤

\frac{( 3 x - 5 3 ) ( 5 - x )}{2}

乘开

(3 x - 53) (5 - x) : 103 x - 3 x^{2} - 253

= \frac{10 3 x - 3 x ^{2} - 25 3}{2}

使用分式法则:

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

\frac{10 3 x - 3 x ^{2} - 25 3}{2} = \frac{10 3 x}{2} - \frac{3 x ^{2}}{2} - \frac{25 3}{2}

= \frac{10 3 x}{2} - \frac{3 x ^{2}}{2} - \frac{25 3}{2}

数字相除:

\frac{10}{2} = 5

= 53 x - \frac{3 x ^{2}}{2} - \frac{25 3}{2}

改写为标准形式

= - \frac{3 x ^{2}}{2} + 53 x - \frac{25 3}{2}

so l v e f or f, f = x \cdot e^{- x} + δ (x - 4)

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

e x p an d \frac{5 \cdot x}{( 2 - 5 \cdot x ) ^{5}}

e x p an d A (- 6, - 5) Y B (6, 1)

e x p an d (1 - x + x \cdot e^{- i \cdot y})^{2}