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In this section we will learn about Addition of Algebraic Expression with positive like terms and negative like terms.
Addition of Algebraic Expression Positive Like terms :
To add several positive like terms, we proceed as follows :
Step 1 : Obtain all like terms. Step 2 : Find the sum of the numerical coefficients of all terms. Step 3 : Write the required sum as a like term whose numerical coefficient is the numerical obtained in Step 2 and literal factor is same as the literal factors of the given like terms.
The sum of the numerical coefficient = (3 + 2 + 13 + 1 = 19)
Hence, 3a2b + 2a2b + 13a2b + a2b = 19a2b.
Addition of Negative Like terms
To add negative like terms, we proceed as follows :
Step 1 : Obtain all like terms. Step 2 : Find the sum of the negative numerical coefficients of all terms. Step 3 : Write an expression with numerical coefficients obtain in Step 2 and literal coefficients with negative sign in the beginning.