Simplifying $ 2\cos^2(x)\sin^2(x) + \cos^4(x) + \sin^4(x)$ who can simplify the following term in a simplest way?
$$ 2\cos^2(x)\sin^2(x) + \cos^4(x) + \sin^4(x)$$
(The answer is 1). Thanks for any suggestions.


$$ 2\cos^2(x)\sin^2(x) + \cos^4(x) + \sin^4(x)$$
$$(a+b)^2=2ab+a^2+b^2$$

$$=(\cos^2x+\sin^2x)^2$$
$$=1^2$$
$$=\boxed{\color{red}1}$$
