Let f(x) = 2sin^(2)beta + 4cos(x + beta)...

Let `f(x) = 2sin^(2)beta + 4cos(x + beta)* sin x* sin beta + cos 2(x + beta)`. Then the value of `|f(alpha)| ^(2)+ {f(pi/4 -alpha)}^(2)`=_______.

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