展开 1125-200*(75-x)^2dx

解答

展开

1125 - 200 \cdot (75 - x)^{2} d x

1125 - 1125000 d x + 30000 x d x - 200 x^{2} d x

求解步骤

1125 - 200 (75 - x)^{2} d x

(75 - x)^{2} = 5625 - 150 x + x^{2}

= 1125 - 200 (x^{2} - 150 x + 5625) d x

乘开

- 200 d x (5625 - 150 x + x^{2}) : - 1125000 d x + 30000 x d x - 200 x^{2} d x

= 1125 - 1125000 d x + 30000 x d x - 200 x^{2} d x

s im pl i f y \frac{18.6}{( 1 - 3 x ) ^{2}}

e x p an d A! B +! A B (C + C)

e x p an d - \frac{1}{3} x + 1

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

e x p an d (y^{2} + 5 x y) d x + 5 x^{2} d y