(Solved): Simplify the following expressions using Boolean Algebra properties and theorems. No need to speci ...

Simplify the following expressions using Boolean Algebra properties and theorems. No need to specify the theorem names. (10 points) a) \( F=\left[\left(A+B^{\prime}+C^{\prime}\right) \cdot\left(A^{\prime}+B+C^{\prime}\right)\right]^{\prime} \) b) \( Y=a^{\prime} b c+a b c^{\prime}+a b c+a^{\prime} b c^{\prime} \)