展开 (x-y)^2dx

解答

展开

(x - y)^{2} d x

x^{2} d x - 2 x y d x + y^{2} d x

求解步骤

(x - y)^{2} d x

(x - y)^{2} = x^{2} - 2 x y + y^{2}

= (x^{2} - 2 x y + y^{2}) d x

打开括号

= d x x^{2} + d x (- 2 x y) + d x y^{2}

使用加减运算法则

+ (- a) = - a

= x^{2} d x - 2 x y d x + y^{2} d x

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

e x p an d V (- 6, - 3) F (- 4, - 3)

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

e x p an d cos (x) (x + 3 cos (x))

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