展开 2(x^2+x-10)^2

解答

展开

2 (x^{2} + x - 10)^{2}

2 x^{4} + 4 x^{3} - 38 x^{2} - 40 x + 200

求解步骤

2 (x^{2} + x - 10)^{2}

(x^{2} + x - 10)^{2} = x^{4} + 2 x^{3} - 19 x^{2} - 20 x + 100

= 2 (x^{4} + 2 x^{3} - 19 x^{2} - 20 x + 100)

打开括号

= 2 x^{4} + 2 \cdot 2 x^{3} + 2 (- 19 x^{2}) + 2 (- 20 x) + 2 \cdot 100

使用加减运算法则

+ (- a) = - a

= 2 x^{4} + 2 \cdot 2 x^{3} - 2 \cdot 19 x^{2} - 2 \cdot 20 x + 2 \cdot 100

化简

2 x^{4} + 2 \cdot 2 x^{3} - 2 \cdot 19 x^{2} - 2 \cdot 20 x + 2 \cdot 100 : 2 x^{4} + 4 x^{3} - 38 x^{2} - 40 x + 200

= 2 x^{4} + 4 x^{3} - 38 x^{2} - 40 x + 200

e x p an d (4 x - 3 y = 1, 4) (- 2 x + 5 y = - 14)

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

e x p an d f (- 3, - 2) x^{2} + x y^{3}

e x p an d (3 + e^{6 t})^{2}

e x p an d x + (x + 2)