Fundamental Concept of Algebraic Expressions Class-8 RS Aggarwal

Fundamental Concept of Algebraic Expressions Class-8 RS Aggarwal Solutions ICSE Mathematics Goyal Brothers Prakashan Chapter-12. We provide step by step Solutions of Exercise / lesson-12 Sets for ICSE Class-8  RS  Aggarwal Mathematics.

Our Solutions contain all type Questions of Exe-12 A, Exe-12 B, Exe-12 C, Exe-12 D and Exe-12 E (MCQ) with Notes to develop skill and confidence. Visit official Website CISCE for detail information about ICSE Board Class-8 Mathematics.

Fundamental Concept of Algebraic Expressions Class-8 RS Aggarwal Solutions ICSE Mathematics Goyal Brothers Prakashan Chapter-12


–: Select Topics :–

Exe-12 A,

 Exe-12 B,

 Exe-12 C,

Exe-12 D,

 Exe-5 E, (MCQ) ,


An algebraic expression in mathematics is an expression which is made up of variables and constants along with algebraic operations (addition, subtraction, etc.) Expressions are made up of terms. They are also termed as algebraic equations.Also,

These expressions are represented with the help of unknown variables, constants and coefficient. The combination of these three is said to be terms of expressions. It is to be noted that, unlike algebraic equation, an algebraic expression has no sides or equal to sign

Variables, Coefficient & Constant

In Algebra we work with Variable, Symbols or Letters whose value is unknown to us.

Types of Algebraic expression

There are 3 mains types of algebraic expressions which include:

  • Monomial Expression
  • Binomial Expression
  • Polynomial Expression

Monomial Expression

An algebraic expression which is having only one term is known as a monomial.

Examples of monomial expression include 3x4, 3xy, 3x,8y, etc.

Binomial Expression

A binomial expression is an algebraic expression which is having two unlikely terms.

Examples of binomial include 5xy + 8, xyz + x3, etc.

Polynomial Expression

In general, an expression with more than one terms with non-negative integral exponents of a variable is known as a polynomial.

Examples of polynomial expression include abca,  etc.

Other Types of Expression:

Apart from mononomial, binomial and polynomial types of expressions, algebraic expression can also be classified into two additional types which are:

  • Numeric Expression
  • Variable Expression

Numeric Expression

A numeric expression consists of numbers and operations, but never include any variable. Some of the examples of numeric expressions are 10+5, 15÷2, etc.

Variable Expression

A variable expression is an expression which contains variables along with numbers and operation to define an expression. A few examples of a variable expression include 4x+y, 5ab + 33, etc.

Formulas

The general algebraic formulas we use to solve the expressions or equations are:

  • (a+b)2 = a2 + 2ab + b2
  • (a – b)2 = a2 – 2ab + b2
  • a2 – b2 = (a – b)(a + b)
  • (a + b)2 = a3 + b3 + 3ab(a + b)
  • (a – b)2 = a3 – b3 – 3ab(a – b)
  • a3 – b3 = (a – b)(a2 + ab + b2)
  • a3 + b3 = (a + b)(a2 – ab + b2)

Exe-12-A Fundamental Concept of Algebraic Expressions Class-8 RS Aggarwal Solutions ICSE Mathematics Goyal Brothers Prakashan

 

 


Exe-12-B Fundamental Concept of Algebraic Expressions Class-8 RS Aggarwal Solutions ICSE Mathematics Goyal Brothers Prakashan

 


Exe-12-C Fundamental Concept of Algebraic Expressions Class-8 RS Aggarwal Solutions ICSE Mathematics Goyal Brothers Prakashan

Q 1

multiply

(i) 8 x² by – 5x

Answer

(8 x – 5) x (x² x x ) = – 40 x x³ = – 40 x ³

(ii)

2/3 ab by – 6a²b

 


Exe-12-D Fundamental Concept of Algebraic Expressions Class-8 RS Aggarwal Solutions ICSE Mathematics Goyal Brothers Prakashan

 


MCQ- Exe-12-E Fundamental Concept of Algebraic Expressions Class-8 RS Aggarwal Solutions ICSE Mathematics Goyal Brothers Prakashan

Multiple Choice Questions

choose the correct option in each of the following

 

 

–: End of Fundamental Concept of Algebraic Expressions RS Aggarwal Solutions :–

 

Return to- RS Aggarwal Solutions for ICSE Class-8 Goyal Brothers Prakashan


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