# How

Algebra Level 3

If $$\beta + \cos^2 \alpha , \beta + \sin^2\alpha$$ are the roots of the equation $$x^2+2bx+c=0$$ and $$\gamma + \cos^4 \alpha , \gamma + \sin^4 \alpha$$ are the roots of the equation $$x^2 + 2Bx + C = 0$$, then find $$b^2-B^2$$.

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