展开 ((3,5x^2}{12}+20x)(\frac{3.5x)/6)

解答

展开

(\frac{3 , 5 x ^{2}}{12} + 20 x) (\frac{3.5 x}{6})

(\frac{3.5 x}{6}) \frac{3 \cdot 5 , x ^{2}}{12} + 20 (\frac{3.5 x}{6}) x

求解步骤

(\frac{3 , 5 x ^{2}}{12} + 20 x) (\frac{3.5 x}{6})

= (\frac{3.5 x}{6}) (\frac{3 \cdot 5 , x ^{2}}{12} + 20 x)

使用分配律:

a (b + c) = ab + a c

a = (\frac{3.5 x}{6}), b = \frac{3 , 5 x ^{2}}{12}, c = 20 x

= (\frac{3.5 x}{6}) \frac{3 , 5 x ^{2}}{12} + (\frac{3.5 x}{6}) \cdot 20 x

= (\frac{3.5 x}{6}) \frac{3 \cdot 5 , x ^{2}}{12} + 20 (\frac{3.5 x}{6}) x

e x p an d (x - ln (x)) (x + ln (x))

e x p an d x^{3} \cdot e^{3 x^{2}} (6 x + 1)

e x p an d \frac{20 ( s + 1.5 )}{s ( s + 0.5 ) ( s + 10 )}

s im pl i f y x (- \frac{x}{20} + 300)

e x p an d \frac{9 ( 2 - 2 )}{2}