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Addition of Algebraic Expression

Polynomial - Concepts

Like and Unlike Terms

Finding Value of an Expression

Polynomial Expression

Degree of a Term

Degree of a Polynomial

Standard Form For a Polynomial

Addition of Algebraic Expression

Subtraction of Algebraic Expression

Multiplication of Monomials

Multiplication of Binomial with a Monomial

Multiplication of Binomials

Division of Polynomial by a Monomial

Division of Polynomial by another Polynomial Long Division

Class - 8th DAV Subjects

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: 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

Question : 2

Add: $3a^2b - 4a^2b + 9a^2b$
A. $12a^2b$	B. $3a^2b$	C. $8a^2b$	D. 0
Right Option : C
View Explanation

Question : 3

Add: $7x^2+3x ;;; and ;;; 9x-5x^2$
A. $2x^2-12x$	B. $2x^2+10x$	C. $2x^2+12x$	D. $x^2+12x$
Right Option : C
View Explanation

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Language - English

Chapters

Exponents And Radicals II

Direct and Inverse Variation III

Construction of Quadriletrals

Understanding Quadriletrals II

Understanding Quadriletrals I

Linear Equations in One Variable II

Linear Equations in One Variable I

Cube and Cube Roots

Square and Square Root II

Square and Square Root I

Mensuration I

Exponents And Radicals I

Direct and Inverse Variation II

Direct and Inverse Variation I

Statistics and Probability I

Statistics and Probability II

Factorisation

Algebraic Identities

Polynomial

Simple and Compound Interest

Profit Loss and Discount

Percentages

Introduction to Graphs

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Addition of Algebraic Expression

Addition of Algebraic Expression

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