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Using pemdas / gema
You never need to simplify any type of algebra. It often helps people understand answers better and/or makes working with certain algebraic expressions easier in the future, but always remember that a simplified and unsimplified expression or algebra are both saying the same thing.
What is M? Algebra right? PEMDAS maybe? M stands for multiply
To simplify a circuit you must first find a Boolean expression for the circuit and then apply Boolean algebra to take it down to the simplest form, to implement the fewest gates.