展开 2((2-x)-(x^2))^2

解答

展开

2 ((2 - x) - (x^{2}))^{2}

2 x^{4} + 4 x^{3} - 6 x^{2} - 8 x + 8

求解步骤

2 ((2 - x) - (x^{2}))^{2}

去除括号:

(a) = a

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

(2 - x - x^{2})^{2} = x^{4} + 2 x^{3} - 3 x^{2} - 4 x + 4

= 2 (x^{4} + 2 x^{3} - 3 x^{2} - 4 x + 4)

打开括号

= 2 x^{4} + 2 \cdot 2 x^{3} + 2 (- 3 x^{2}) + 2 (- 4 x) + 2 \cdot 4

使用加减运算法则

+ (- a) = - a

= 2 x^{4} + 2 \cdot 2 x^{3} - 2 \cdot 3 x^{2} - 2 \cdot 4 x + 2 \cdot 4

化简

2 x^{4} + 2 \cdot 2 x^{3} - 2 \cdot 3 x^{2} - 2 \cdot 4 x + 2 \cdot 4 : 2 x^{4} + 4 x^{3} - 6 x^{2} - 8 x + 8

= 2 x^{4} + 4 x^{3} - 6 x^{2} - 8 x + 8

e x p an d - sin (t) (θ (t - \frac{π}{2}))

s im pl i f y 1 + \frac{1.7 ( s + 2 ) K}{s ^{2} + 2 s + 1.81}

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

e x p an d (0) (9 i) (1 - i)

e x p an d \frac{5 n ( 3 ^{n} + 1 )}{n + 3 ^{n + 1} + 1}