Addition of Algebraic Expression


 
 
Concept Explanation
 

Addition of Algebraic Expression

While adding algebraic expressions, we collect different groups of like terms and then simplify the coefficients of like terms in each group.

Illustration:  Add:7x^2- 4x+ 5, -3x^{2} + 2x - 1 ;;and ;;5x^{2}-x +9

Solution : We are required to find the sum

                       =(7x^{2}- 4x+ 5) + ( -3x^{2} + 2x - 1 ) + ( 5x^{2}-x +9 )

                       =7x^{2}- 3x^{2}+ 5x^{2}- 4x + 2x -x + 5 - 1 + 9

                       =left ( 7 - 3 + 5 right )x^{2} + left (- 4 + 2 - 1 right )x + left (5 - 1 + 9 right )

                       =9x^{2} - 3x + 13

Illustration:   Add: 5x^{2} - frac{1}{3} x +frac{5}{2},;; - frac{1}{2}x^{2} + frac{1}{2} x -frac{1}{3} ;;and; -2x^{2} + frac{1}{5} x -frac{1}{6}

Solution We are required to find the sum

                       =(5x^{2}-frac{1}{3}x + frac{5}{2}) + (-frac{1}{2}x^{2}+ frac{1}{2}x -frac{1}{3}) + (-2x^{2}+ frac{1}{5}x - frac{1}{6})

                        =5x^{2} - frac{1}{2}x^{2} - 2x^{2} -frac{1}{3}x + frac{1}{2}x + frac{1}{5}x + frac{5}{2}- frac{1}{3} - frac{1}{6}

                        =left (5-frac{1}{2}-2 right ) x^{2} +left (-frac{1}{3} + frac{1}{2}+frac{1}{5}right ) x + left (frac{5}{2}- frac{1}{3} - frac{1}{6}right )

                       =left(frac{10-1-4}{2}right ) x^{2} + left (frac{-10+15+6}{30}right ) x + left(frac{15-2-1}{6}right )

                        =frac{5}{2} x^{2} + frac{11}{30} x + 2

Sample Questions
(More Questions for each concept available in Login)
Question : 1

Add:   3mn ,  - 5mn  ,  8mn ,  - 4mn

Right Option : A
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Explanation
Question : 2

Add: 3a^2b - 4a^2b + 9a^2b

Right Option : C
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Question : 3

Add large fn_cm 9x^2-10xy-5xy^2,3x^2+15xy-2xy^2,-2x^2+3xy^2-2xy

Right Option : B
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Explanation
 
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