展开 ((a+h)^2)/2+(a+h)

解答

展开

\frac{( a + h ) ^{2}}{2} + (a + h)

\frac{a ^{2}}{2} + ah + \frac{h ^{2}}{2} + a + h

求解步骤

\frac{( a + h ) ^{2}}{2} + (a + h)

去除括号:

(a) = a

= \frac{( a + h ) ^{2}}{2} + a + h

(a + h)^{2} = a^{2} + 2 ah + h^{2}

= \frac{h ^{2} + 2 ah + a ^{2}}{2} + a + h

使用分式法则:

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

\frac{a ^{2} + 2 ah + h ^{2}}{2} = \frac{a ^{2}}{2} + \frac{2 ah}{2} + \frac{h ^{2}}{2}

= \frac{a ^{2}}{2} + \frac{2 ah}{2} + \frac{h ^{2}}{2} + a + h

数字相除:

\frac{2}{2} = 1

= \frac{a ^{2}}{2} + ah + \frac{h ^{2}}{2} + a + h

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

e x p an d 3 x^{2} - 9 x + 6 (- 2, - 1, 0, 1, 2, 3)

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