# Algebraic Identities Class-8 RS Aggarwal Goyal Brothers Prakashan

**Algebraic Identities** Class-8 RS Aggarwal ICSE Mathematics Goyal Brothers Prakashan Chapter-13. We provide step by step Solutions of Exercise / lesson-13 **Algebraic Identities** for ICSE **Class-8 RS** Aggarwal Mathematics.

Our Solutions contain all type Questions of Exe-13 A, Exe-13 B, Exe-13 C, Exe-13 D (MCQ) with Notes to develop skill and confidence. Visit official Website **CISCE** for detail information about ICSE Board Class-8 Mathematics.

**Algebraic Identities** Class-8 RS Aggarwal ICSE Mathematics Goyal Brothers Prakashan Chapter-13

**-: Select Topic :-**

### Important Algebraic Identities

- (a + b)
^{2}= a^{2}+ 2ab + b^{2} - (a – b)
^{2}= a^{2}– 2ab + b^{2} - (a + b) (a – b) = a
^{2}– b^{2} - (x + a) (x + b) = x
^{2}+ (a + b) x + ab - (x + a) (x – b) = x
^{2}+ (a – b) x – ab - (x – a) (x + b) = x
^{2}– (a – b) x – ab - If x is a variable and m, n are positive integers, then (x
^{m}× x^{n}) = x^{(m+n)}Thus, x^{2}× x^{4}= x^{(2+4)}= x^{6} - If x is a variable and m, n are positive integers such that m > n, then (x
^{m}÷ x^{n}) = x^{m-n}. Thus, x^{9}÷ x^{4}= x^{9-4}= x^{5} - Product of two monomials = (Product of their coefficients) × (Product of their variables)
- Division of two monomials = (Division of their coefficients) × (Division of their variables)

**Applying Identities**

**
**The above identities are useful in carrying out squares and products of algebraic expressions. They provide us with easy alternative methods to calculate products of numbers and so on.

**EXE-13 A, Algebraic Identities** Class-8 RS Aggarwal ICSE Mathematics Goyal Brothers Prakashan

Find the following product

**EXE-13 B, Algebraic Identities** Class-8 RS Aggarwal ICSE Mathematics Goyal Brothers Prakashan

Find the following product

**EXE-13 C, Algebraic Identities** Class-8 RS Aggarwal ICSE Mathematics Goyal Brothers Prakashan

**MCQs, EXE-13 D, **ICSE Mathematics Goyal Brothers Prakashan

#### Multiple Choice Questions

Choose the correct option in each of the following

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