The ray of light, emitting from point M, reflects the line AB at point C ∈ AB and then goes through point N so that m∠ACM=m∠BCN. Prove that the bisector of the ∠MCN is perpendicular to line AB.

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Answerthe simplified expression isexplanationthe given expression is,let us deal with the bracket first.the two negatives in the parenthesis will become positive.the expression now becomes,we now expand the parenthesis to get,we group like terms to obtain,this simplifies to,