展开 (5x-x^2,t-(1-x)^2,1-t-(5x)^2)*(5,1,-1)

解答

展开

(5 x - x^{2}, t - (1 - x)^{2}, 1 - t - (5 x)^{2}) \cdot (5, 1, - 1)

5 \cdot 5 x, 1, - 5 \cdot 1 \cdot x - x^{2}, 5 t, 1, x^{2}, 1 \cdot t - (1 - x)^{2}, 1 \cdot 5, 1, (1 - x)^{2}, 1 \cdot 1 - 5 t, 1, 1 \cdot t - 5 (5 x)^{2}, 1, 1 \cdot (5 x)^{2}

求解步骤

(5 x - x^{2}, t - (1 - x)^{2}, 1 - t - (5 x)^{2}) (5, 1, - 1)

= (5 \cdot 1,, - 1) (5 x -, x^{2} t - 1, (1 - x)^{2} - t - (5 x)^{2})

打开括号

= 5 x \cdot 5, 1, 5 x (- 1) + (- x^{2}, t) \cdot 5, 1, (- x^{2}, t) (- 1) + (- (1 - x)^{2}, 1) \cdot 5, 1, (- (1 - x)^{2}, 1) (- 1) + (- t) \cdot 5, 1, (- t) (- 1) + (- (5 x)^{2}) \cdot 5, 1, (- (5 x)^{2}) (- 1)

使用加减运算法则

+ (- a) = - a, (- a) (- b) = ab

= 5 \cdot 5 x, 1, - 5 \cdot 1 \cdot x - x^{2}, 5 t, 1, x^{2}, 1 \cdot t - (1 - x)^{2}, 1 \cdot 5, 1, (1 - x)^{2}, 1 \cdot 1 - 5 t, 1, 1 \cdot t - 5 (5 x)^{2}, 1, 1 \cdot (5 x)^{2}

e x p an d y (6, - 6) (20, - 20)

e x p an d \frac{d x}{d} (x = 3 cos (y) - sin (y) y_{2})

s im pl i f y (\frac{8 u}{5} + \frac{3 v ^{2}}{8}) (\frac{8 u}{5} - \frac{3 v ^{2}}{8})

s im pl i f y (i - x)^{2} + c (x - c)^{2}

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