展开 (0.5+(0.5*cos^2(x)))^2

解答

展开

(0.5 + (0.5 \cdot cos^{2} (x)))^{2}

0.25 + 0.5 cos^{2} (x) + 0.25 cos^{4} (x)

求解步骤

(0.5 + (0.5 cos^{2} (x)))^{2}

化简

0.5 + (0.5 cos^{2} (x)) : 0.5 + 0.5 cos^{2} (x)

= (0.5 + 0.5 cos^{2} (x))^{2}

使用完全平方公式:

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

(0.5 + 0.5 cos^{2} (x))^{2} = 0. 5^{2} + 2 \cdot 0.5 \cdot 0.5 cos^{2} (x) + (0.5 cos^{2} (x))^{2}

= 0. 5^{2} + 2 \cdot 0.5 \cdot 0.5 cos^{2} (x) + (0.5 cos^{2} (x))^{2}

化简

0. 5^{2} + 2 \cdot 0.5 \cdot 0.5 cos^{2} (x) + (0.5 cos^{2} (x))^{2} : 0.25 + 0.5 cos^{2} (x) + 0.25 cos^{4} (x)

= 0.25 + 0.5 cos^{2} (x) + 0.25 cos^{4} (x)

e x p an d (9 (x + 3)^{2} - 4 (y - 4)^{2} = - 96) (- \frac{1}{96})

s im pl i f y (x - 2) \cdot (x + 2)

e x p an d 4 (e)^{3}

e x p an d \frac{2 ( 1 + 10 )}{9}

e x p an d P_{1} (- 3, 2) P_{2} (4, - 1)