2 × 3 rectangle is partitioned into 6 congruent numbered squares as shown. A single 1 × 2 rectangle is placed to cover exactly 2 of the numbered squares. The covered numbers are then added together. How many different sums can result?

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,