What is expand (1+cos^2(x))^2 ?

The solution to expand (1+cos^2(x))^2 is 1+2cos^2(x)+cos^4(x)

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expand (1+cos^2(x))^2

expand

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

1 + 2 cos^{2} (x) + cos^{4} (x)

Solution steps

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

Apply Perfect Square Formula:

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

(1 + cos^{2} (x))^{2} = 1^{2} + 2 \cdot 1 \cdot cos^{2} (x) + (cos^{2} (x))^{2}

= 1^{2} + 2 \cdot 1 \cdot cos^{2} (x) + (cos^{2} (x))^{2}

Simplify

1^{2} + 2 \cdot 1 \cdot cos^{2} (x) + (cos^{2} (x))^{2} : 1 + 2 cos^{2} (x) + cos^{4} (x)

= 1 + 2 cos^{2} (x) + cos^{4} (x)

\frac{x ^{2} + 9 x - 42}{( x + 1 ) ( x + 6 )}

(x - 13) (x + 13)

(1 + 3 i)^{10}

(2 x - 1) d x + (3 y + 7) d y

\frac{( x - 1 ) ^{2}}{x ^{2} + 1}

What is expand (1+cos^2(x))^2 ?
The solution to expand (1+cos^2(x))^2 is 1+2cos^2(x)+cos^4(x)