化简 8(w/4+3/2)

解答

化简

8 (\frac{w}{4} + \frac{3}{2})

2 w + 12

求解步骤

8 (\frac{w}{4} + \frac{3}{2})

合并

\frac{w}{4} + \frac{3}{2} : \frac{w + 6}{4}

= 8 \cdot \frac{w + 6}{4}

使用分式法则:

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

= \frac{8 ( w + 6 )}{4}

数字相除:

\frac{8}{4} = 2

= 2 (w + 6)

展开

2 (w + 6) : 2 w + 12

= 2 w + 12

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

s im pl i f y (\frac{2}{x - 12} + 8 (100 - x)) (x - 12)

e x p an d \frac{( 4 x ^{3} - 2 x ) ^{y}}{( 2 y - 1 ) e ^{y^{2}} - 2 e ^{3 y}}

s im pl i f y δ (3 - 2 x)

e x p an d (- 4 r + 4 r^{3} + 8 e^{2} r) (1 + 4 e^{2} r^{2})