展开 ((-x+11)(-x+5))/2

解答

展开

\frac{( - x + 11 ) ( - x + 5 )}{2}

\frac{x ^{2}}{2} - 8 x + \frac{55}{2}

求解步骤

\frac{( - x + 11 ) ( - x + 5 )}{2}

乘开

(- x + 11) (- x + 5) : x^{2} - 16 x + 55

= \frac{x ^{2} - 16 x + 55}{2}

使用分式法则:

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

\frac{x ^{2} - 16 x + 55}{2} = \frac{x ^{2}}{2} - \frac{16 x}{2} + \frac{55}{2}

= \frac{x ^{2}}{2} - \frac{16 x}{2} + \frac{55}{2}

数字相除:

\frac{16}{2} = 8

= \frac{x ^{2}}{2} - 8 x + \frac{55}{2}

e x p an d \frac{( t ^{2} + 1 ) ( 1 - t )}{t ^{3} + 1}

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

e x p an d ln (a + e^{(x + y + z)^{2}})

e x p an d (2 - 6) a + (3 - 6) b

e x p an d \frac{2 ( 2 x - 3 )}{5}