Mathematics
Algebraic identities
बीजीय सर्वसमिकाएँ
In this Class 9 Mathematics topic from “Exploring Algebraic Identities,” students learn how standard algebraic relationships remain true for all permitted values of the variables. They study and apply identities such as (a + b)², (a − b)², and a² − b² to expand expressions, simplify calculations, and factorise algebraic forms. The topic also develops skill in recognising suitable patterns, substituting values to verify results, and using identities to solve expressions efficiently and accurately.
Practice questions
Which of the following is the correct identity form of \(a^2-2ab+b^2\)?EasyLevel 66Which algebraic identity expresses the difference of two squares as the product of their sum and difference?EasyLevel 66Which of the following expressions represents the expanded form of the square of a binomial sum, \((a+b)^2\)?EasyLevel 66Which of the following expressions represents the algebraic identity for the square of a sum of two terms?EasyLevel 66Which of the following expressions represents the expansion of the square of a difference, \,\((a-b)^2\)?EasyLevel 66Which of the following expressions is an example of the identity for the difference of squares?EasyLevel 66To calculate \( 63\times57 \) quickly, which form is correct?EasyLevel 66Which of the following expressions is in the form of the identity for the difference of two squares?EasyLevel 66In ( (x+6)^2=x^2+__+36 ), what will fill the blank?EasyLevel 66In ( (z-8)^2=z^2-16z+__ ), what is the blank?EasyLevel 66Besides (r^2) and (s^2), which term appears in ( (r+s)^2 )?EasyLevel 66Which of the following algebraic identities represents the square of the difference of two terms?EasyLevel 66What is the constant term of ( (4x-1)^2 )?EasyLevel 66Which of the following expressions can be factorised using the identity for the difference of two squares?EasyLevel 66Which of the following expressions is the correct algebraic expansion of \((a+b)^2\)?EasyLevel 66What is the factor form of ( a^2-b^2 )?EasyLevel 66Which term will not appear in ( (x+9)(x-9) )?EasyLevel 66Which of the following expressions is the factorised form of the identity \(a^2+2ab+b^2\)?EasyLevel 66What will be the constant term in ( (x-2)(x-7) )?EasyLevel 66What is the coefficient of (x) in ( (x-4)(x+6) )?EasyLevel 66