展开 (3(x^2+2x+6))/2

解答

展开

\frac{3 ( x ^{2} + 2 x + 6 )}{2}

\frac{3 x ^{2}}{2} + 3 x + 9

求解步骤

\frac{3 ( x ^{2} + 2 x + 6 )}{2}

乘开

3 (x^{2} + 2 x + 6) : 3 x^{2} + 6 x + 18

= \frac{3 x ^{2} + 6 x + 18}{2}

使用分式法则:

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

\frac{3 x ^{2} + 6 x + 18}{2} = \frac{3 x ^{2}}{2} + \frac{6 x}{2} + \frac{18}{2}

= \frac{3 x ^{2}}{2} + \frac{6 x}{2} + \frac{18}{2}

数字相除:

\frac{6}{2} = 3

= \frac{3 x ^{2}}{2} + 3 x + \frac{18}{2}

数字相除:

\frac{18}{2} = 9

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

e x p an d 4 x (x + 10 - 2 (x - 5) = 2^{2} - 4)

e x p an d (u x^{3} - ln (x)) (x d u + u d x)

e x p an d \frac{( x + 1 ) ( x + 4 )}{( x - 3 ) ( x + 5 ) ( x - 7 )}

e x p an d ([(1 + 0.22) - 1]^{1})^{2}

e x p an d \frac{( a ^{2} + b ^{2} ) ( b - 2 a ) ^{2}}{b ^{2} ( 4 a ^{2} - 4 ab + b ) ^{2}}