化简 (2-sqrt(x/2))^2

解答

化简

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

\frac{8 - 4 2 x + x}{2}

求解步骤

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

使用完全平方公式:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

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

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

化简

2^{2} - 2 \cdot 2 \frac{x}{2} + (\frac{x}{2})^{2} : \frac{8 - 8 \frac{x}{2} + x}{2}

= \frac{8 - 8 \frac{x}{2} + x}{2}

8 \frac{x}{2} = 42 x

= \frac{8 - 4 2 x + x}{2}

e x p an d (311.13 sin (377 t)) \cdot (3 sin (377 t) - 1.5)

\frac{d ^{3}}{d x ^{3}} ((y) (4 x^{2} - 6 x + 2))

e x p an d sin (x) (1 + cot (x) = sin (x) + cos (x))

e x p an d \frac{8}{x ( x ^{2} + 4 )}

e x p an d \frac{10}{s ( s + 1 ) ( s + 10 )}