展开 (5(x-5)^2)/3

解答

展开

\frac{5 ( x - 5 ) ^{2}}{3}

\frac{5 x ^{2}}{3} - \frac{50 x}{3} + \frac{125}{3}

求解步骤

\frac{5 ( x - 5 ) ^{2}}{3}

(x - 5)^{2} = x^{2} - 10 x + 25

= \frac{5 ( x ^{2} - 10 x + 25 )}{3}

乘开

5 (x^{2} - 10 x + 25) : 5 x^{2} - 50 x + 125

= \frac{5 x ^{2} - 50 x + 125}{3}

使用分式法则:

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

\frac{5 x ^{2} - 50 x + 125}{3} = \frac{5 x ^{2}}{3} - \frac{50 x}{3} + \frac{125}{3}

= \frac{5 x ^{2}}{3} - \frac{50 x}{3} + \frac{125}{3}

e x p an d - \frac{6 x}{( 2 + x ^{2} ) ^{2}}

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

e x p an d (1 - e) (ba - b d a c + d c)

e x p an d (6 + x)^{6}

d er i v a t i v e t e (x^{3} y (t, x) - y (t, x) (t, x)^{2} = 3)