展开 ((3x-2)(3x+1))/3

解答

展开

\frac{( 3 x - 2 ) ( 3 x + 1 )}{3}

3 x^{2} - x - \frac{2}{3}

求解步骤

\frac{( 3 x - 2 ) ( 3 x + 1 )}{3}

乘开

(3 x - 2) (3 x + 1) : 9 x^{2} - 3 x - 2

= \frac{9 x ^{2} - 3 x - 2}{3}

使用分式法则:

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

\frac{9 x ^{2} - 3 x - 2}{3} = \frac{9 x ^{2}}{3} - \frac{3 x}{3} - \frac{2}{3}

= \frac{9 x ^{2}}{3} - \frac{3 x}{3} - \frac{2}{3}

数字相除:

\frac{9}{3} = 3

= 3 x^{2} - \frac{3 x}{3} - \frac{2}{3}

数字相除:

\frac{3}{3} = 1

= 3 x^{2} - x - \frac{2}{3}

s im pl i f y (4 x^{- 1} \circ 3 x + 5) (x)

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

e x p an d - \frac{5 m ( t + 10 s ) ^{2}}{s ^{2}}

e x p an d \frac{5 x}{( x + 3 ) ^{4}}

e x p an d 2^{2} - 2