Q. What do you mean by like terms and unlike terms?
⇢ Like terms are those which have the same base whereas unlike terms are those which have the different base [ For eg : In 6p , 3r , 4p & 4r , 6p and 4p are like terms as they have the same base i.e p & 3r and 4r are like terms as they have the same base i.e r ] . Like terms can be added or subtracted as per the signs given and unlike terms are kept as they are. Only coefficient of like terms can be added or subtracted.
Lets solve :
The positive integers are always added and possess the positive ( + ) sign. For example : ( +2 ) + ( + 3 ) = + 5
The negative integers are always added but possess the negative ( - ) sign . For example : ( - 5 ) + ( - 2 ) = - 7
The negative and positive integers are always subtracted but possess the sign of the bigger integer. For example : ( + 7 ) + ( - 3 ) = 4
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