展开 (5x^4+11x^2y-8y^2+3)left(3xy^2)

解答

展开

(5 x^{4} + 11 x^{2} y - 8 y^{2} + 3) l e f t (3 x y^{2})

15 e l x^{5} y^{2} f t + 33 e l x^{3} y^{3} f t - 24 e l x y^{4} f t + 9 e l x y^{2} f t

求解步骤

(5 x^{4} + 11 x^{2} y - 8 y^{2} + 3) l e f t (3 x y^{2})

= e l f t (5 x^{4} + 11 x^{2} y - 8 y^{2} + 3) (3 x y^{2})

打开括号

= l e f t (3 x y^{2}) \cdot 5 x^{4} + l e f t (3 x y^{2}) \cdot 11 x^{2} y + l e f t (3 x y^{2}) (- 8 y^{2}) + l e f t (3 x y^{2}) \cdot 3

使用加减运算法则

+ (- a) = - a

= 5 e l x^{4} f t (3 x y^{2}) + 11 e l x^{2} y f t (3 x y^{2}) - 8 e l y^{2} f t (3 x y^{2}) + 3 e l f t (3 x y^{2})

化简

5 e l x^{4} f t (3 x y^{2}) + 11 e l x^{2} y f t (3 x y^{2}) - 8 e l y^{2} f t (3 x y^{2}) + 3 e l f t (3 x y^{2}) : 15 e l x^{5} y^{2} f t + 33 e l x^{3} y^{3} f t - 24 e l x y^{4} f t + 9 e l x y^{2} f t

= 15 e l x^{5} y^{2} f t + 33 e l x^{3} y^{3} f t - 24 e l x y^{4} f t + 9 e l x y^{2} f t

s im pl i f y (5 - x 6)^{2}

s im pl i f y (\frac{3}{x - 8} + 5 (100 - x)) (x - 8)

e x p an d \frac{( 1 - r )}{( z - r ) ( z - 1 )}

e x p an d \frac{1}{k ( n - k )}

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