展开 ((6x-5)^2)/(36)

解答

展开

\frac{( 6 x - 5 ) ^{2}}{36}

x^{2} - \frac{5 x}{3} + \frac{25}{36}

求解步骤

\frac{( 6 x - 5 ) ^{2}}{36}

(6 x - 5)^{2} = 36 x^{2} - 60 x + 25

= \frac{36 x ^{2} - 60 x + 25}{36}

使用分式法则:

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

\frac{36 x ^{2} - 60 x + 25}{36} = \frac{36 x ^{2}}{36} - \frac{60 x}{36} + \frac{25}{36}

= \frac{36 x ^{2}}{36} - \frac{60 x}{36} + \frac{25}{36}

数字相除:

\frac{36}{36} = 1

= x^{2} - \frac{60 x}{36} + \frac{25}{36}

消掉

\frac{60 x}{36} : \frac{5 x}{3}

= x^{2} - \frac{5 x}{3} + \frac{25}{36}

e x p an d (\frac{1}{p ^{2}} - 4 q)^{7}

s im pl i f y (x^{2} + 4 i)^{2}

s im pl i f y (1 + cos (x)) (cos (x))

e x p an d 1 - sin (x) (1 + sin (x))

s im pl i f y (10 \frac{2465288}{2083583} - 1) \cdot 100