展开 ((a+m)(a+n))/2

解答

展开

\frac{( a + m ) ( a + n )}{2}

\frac{a ^{2}}{2} + \frac{na}{2} + \frac{am}{2} + \frac{nm}{2}

求解步骤

\frac{( a + m ) ( a + n )}{2}

乘开

(a + m) (a + n) : a^{2} + na + am + nm

= \frac{a ^{2} + na + am + nm}{2}

使用分式法则:

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

\frac{a ^{2} + na + am + nm}{2} = \frac{a ^{2}}{2} + \frac{na}{2} + \frac{am}{2} + \frac{nm}{2}

= \frac{a ^{2}}{2} + \frac{na}{2} + \frac{am}{2} + \frac{nm}{2}

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

e x p an d \frac{2 ( x + 21 )}{( x + 75 )}

e x p an d (x - 3 y - 5 z = 0) (6, 4, 9)

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

e x p an d (x + 1) \cdot 3 e^{x}