What is expand (0.5+(0.5*cos^2(x)))^2 ?

The solution to expand (0.5+(0.5*cos^2(x)))^2 is 0.25+0.5cos^2(x)+0.25cos^4(x)

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expand (0.5+(0.5*cos^2(x)))^2

expand

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

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

Solution steps

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

Simplify

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

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

Apply Perfect Square Formula:

(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}

Simplify

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)

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

(x - 2) \cdot (x + 2)

4 (e)^{3}

\frac{2 ( 1 + 10 )}{9}

P_{1} (- 3, 2) P_{2} (4, - 1)

What is expand (0.5+(0.5*cos^2(x)))^2 ?
The solution to expand (0.5+(0.5*cos^2(x)))^2 is 0.25+0.5cos^2(x)+0.25cos^4(x)