展开 (-xy'(x)-y)xy

解答

展开

(- x y^{'} (x) - y) x y

- x^{2} yy' (x) - x y^{2}

求解步骤

(- x y^{'} (x) - y) x y

= x (- x y^{^{'}} (x) - y) y

使用分配律:

a (b - c) = ab - a c

a = x y, b = - x y^{'} (x), c = y

= x y (- x y^{^{'}} (x)) - x yy

使用加减运算法则

+ (- a) = - a

= - xx y y^{^{'}} (x) - x yy

化简

- xx y y^{'} (x) - x yy : - x^{2} y y^{'} (x) - x y^{2}

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

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

e x p an d 8 (x + 43 = 56)

e x p an d \frac{75 ( - cos ( π t ) + 1 )}{π t}

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

e x p an d - \frac{27 ( n + 1 )}{2}