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:  14x + 10y - 12xy -13, 18 -7x -10y + 8xy, 4xy

Right Option : B
View Explanation
Explanation
Question : 2

Add the given terms:   5x^2-2x-3 ;; , 10x^2-5 , ;; -7x^2+6x+9 

Right Option : B
View Explanation
Explanation
Question : 3

Add: a + b - 3, b - a + 3, a - b + 3

Right Option : D
View Explanation
Explanation
 
Video Link - Have a look !!!
 
Language - English
 
Chapters
Content / Category
Class / Course
 
 
Related Videos
Language - English
Language - English
Language - English

Language - English
Language - English





Students / Parents Reviews [20]