展开 ((-4+x)^2)/(16)

解答

展开

\frac{( - 4 + x ) ^{2}}{16}

\frac{x ^{2}}{16} - \frac{x}{2} + 1

求解步骤

\frac{( - 4 + x ) ^{2}}{16}

(- 4 + x)^{2} = 16 - 8 x + x^{2}

= \frac{16 - 8 x + x ^{2}}{16}

使用分式法则:

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

\frac{16 - 8 x + x ^{2}}{16} = \frac{16}{16} - \frac{8 x}{16} + \frac{x ^{2}}{16}

= \frac{16}{16} - \frac{8 x}{16} + \frac{x ^{2}}{16}

使用法则

\frac{a}{a} = 1

\frac{16}{16} = 1

= 1 - \frac{8 x}{16} + \frac{x ^{2}}{16}

消掉

\frac{8 x}{16} : \frac{x}{2}

= 1 - \frac{x}{2} + \frac{x ^{2}}{16}

改写为标准形式

= \frac{x ^{2}}{16} - \frac{x}{2} + 1

e x p an d 6 (x - (2 x + 3) = 8 - 5 x)

e x p an d (x + 7) ((x + Δ x) + 7)

e x p an d \frac{( - 5 x + 55 ) ( 11 - x )}{2}

e x p an d \frac{1}{( s + 10 ) ( s ^{2} + 4 s + 10 )}

e x p an d (3 + 2 i) \cdot [6 + 3 i, 0 + 0 i, 5 + 1 i, 4]