展开 3098.5(x+y-0.1)^2

解答

展开

3098.5 (x + y - 0.1)^{2}

6197 x y + 3098.5 x^{2} - 619.7 x + 3098.5 y^{2} - 619.7 y + 30.985

求解步骤

3098.5 (x + y - 0.1)^{2}

(x + y - 0.1)^{2} = 2 x y + x^{2} - 0.2 x + y^{2} - 0.2 y + 0.01

= 3098.5 (x^{2} + 2 x y - 0.2 x + y^{2} + 0.01 - 0.2 y)

打开括号

= 3098.5 \cdot 2 x y + 3098.5 x^{2} + 3098.5 (- 0.2 x) + 3098.5 y^{2} + 3098.5 (- 0.2 y) + 3098.5 \cdot 0.01

使用加减运算法则

+ (- a) = - a

= 2 \cdot 3098.5 x y + 3098.5 x^{2} - 0.2 \cdot 3098.5 x + 3098.5 y^{2} - 0.2 \cdot 3098.5 y + 0.01 \cdot 3098.5

化简

2 \cdot 3098.5 x y + 3098.5 x^{2} - 0.2 \cdot 3098.5 x + 3098.5 y^{2} - 0.2 \cdot 3098.5 y + 0.01 \cdot 3098.5 : 6197 x y + 3098.5 x^{2} - 619.7 x + 3098.5 y^{2} - 619.7 y + 30.985

= 6197 x y + 3098.5 x^{2} - 619.7 x + 3098.5 y^{2} - 619.7 y + 30.985

e x p an d a - ((a + b) (a + (a + b)^{\frac{1}{2}}))^{\frac{1}{2}}

e x p an d \frac{x !}{x ( x - 2 )}

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

e x p an d d x (x tan (x) d x - y cos (x) d y)

s im pl i f y \frac{1}{2} (e^{i x} i - i e^{- i x})