RD SharmaSolutions for Class 9 Maths Chapter 4 Algebraic Identities
The algebraic equations which are valid for all values of variables in them are called algebraic identities. They are also used for the factorization of polynomials. In this way, algebraic identities are used in the computation of algebraic expressions and solving different polynomials. The algebraic identities are verified using the substitution method. In this method, substitute the values for the variables and perform the arithmetic operation. The three algebraic identities in Maths are:
Identity 1: (a+b)^2 = a^2 + b^2 + 2ab
Identity 2: (a-b)^2 = a^2 + b^2 – 2ab
Identity 3: a^2 – b^2 = (a+b) (a-b)
The chapter consists of exercise wise problems that are solved based on concepts like Identities, Identity for the square of a trinomial, Identity for the cube of a binomial, Sum and Difference of Cubes and One More Identity.