展开-(4(x+4)^2)/9

解答

展开

- \frac{4 ( x + 4 ) ^{2}}{9}

- \frac{4 x ^{2}}{9} - \frac{32 x}{9} - \frac{64}{9}

求解步骤

- \frac{4 ( x + 4 ) ^{2}}{9}

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

= - \frac{4 ( x ^{2} + 8 x + 16 )}{9}

乘开

4 (x^{2} + 8 x + 16) : 4 x^{2} + 32 x + 64

= - \frac{4 x ^{2} + 32 x + 64}{9}

使用分式法则:

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

\frac{4 x ^{2} + 32 x + 64}{9} = - (\frac{4 x ^{2}}{9}) - (\frac{32 x}{9}) - (\frac{64}{9})

= - (\frac{4 x ^{2}}{9}) - (\frac{32 x}{9}) - (\frac{64}{9})

去除括号:

(a) = a

= - \frac{4 x ^{2}}{9} - \frac{32 x}{9} - \frac{64}{9}

e x p an d \frac{X ^{2}}{2} - 2 X + \frac{3}{2}

s im pl i f y (\frac{3}{x} - x) (\frac{3}{x} + x)

s im pl i f y (2 x + 1) (3 - 4 x)

e x p an d x x

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