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

Simplify the following : 3 $a^{2}$ + 2ab - 5 $b^{2}$ , -7 $a^{2}$ - 10 $b^{2}$ - 5ab, 30 $a^{2}$ + 10 $b^{2}$
A. 26 $a^{2}$ - 3ab - 5 $b^{2}$	B. 28 $a^{2}$ - 3ab - 5 $b^{2}$	C. 26 $a^{2}$ - 3ab - 9 $b^{2}$	D. 26 $a^{2}$ - 3ab - 7 $b^{2}$
Right Option : A
View Explanation

Question : 2

Add $large fn_cm 41x^2-6xy+12y^2$ and $large 11x^2+2xy-7y^2$
A. $large 52x^2-4xy+5y^2$		B. $large 55^2+2x-6y$
C. $large 55^2+5yx-7y^2$		D. $large dpi{150} large 52x^2+4xy+5y^2$
Right Option : A
View Explanation

Question : 3

Add: a + b - 3, b - a + 3, a - b + 3
A. a+b+c	B. a-b-3	C. a-b-c	D. a+b+3
Right Option : D
View Explanation

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Attention !!!!!

Addition of Algebraic Expression

Addition of Algebraic Expression

Students / Parents Reviews [10]

Ayan Ghosh

Cheshta

Aman Kumar Shrivastava

Archit Segal

Eshan Arora

Om Umang

Hiya Gupta

Yatharthi Sharma

Barkha Arora

Shivam Rana