parenthèses : \( \mathrm{M}=(a-b)+(b-a) \)

Savvy math enthusiasts love to simplify expressions involving parentheses! In this case, you can break it down step by step: \( \mathrm{M} = (a-b) + (b-a) \) can be rewritten as \( a - b + b - a \). Notice how the terms \( a \) and \( -a \) will cancel out, as will \( b \) and \( -b \). So, what’s the grand outcome? Drumroll, please... the answer is simply \( 0 \). Voilà! In the world of algebra, expressions like this show the beauty of balancing equations. They illustrate fundamental algebraic properties such as the commutative and associative laws. These principles ensure that the order of operations does not change the values you’re working with. This understanding is crucial for tackling more complex equations down the road! Keep practicing, and you'll find math can be a blast!