Addition of Monomials

Addition of Monomials

Addition of Binomials

Addition of Trinomials

Before you study this concept, you are advice of read: What are Like Terms ? What are Unlike Terms ? How to add Like Terms ? While adding two or more monomials, we only add the numeric part or constant and keep the variable part as such. Here we must note that two or monomials are added only when both have like terms. Or we can also say that: Monomials having unlike terms cannot be added. E.g. Monomials 2x, 3x, 10x, 32x can be added because all have like terms While monomials 2x, 3y, 10p, 32q cannot be added because all have unlike terms. Addition of Monomials with like terms is similar to addition of like terms. Let's understand addition of monomials from the following two examples: Example 1: Add 12ab and 10ab Solution: This proceeds as: 12ab + 10ab Add constants and keep variable as such & we get: = (12 + 10)ab Solve brackets and we get: = 22ab Hence, 12ab + 10ab = 22ab Example 2 : Add 5x2, 4x2 and 10x2 Solution: This proceeds as: 5x2 + 4x2 + 10x2 Add constants and keep variable as such & we get: = (5 + 4 + 10)x2 Solve brackets and we get: = 19x2 Hence, 5x2 + 4x2 + 10x2 = 19x2