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 expressions is a difference of two perfect squares?EasyLevel 65Which of the following expressions can be written as a difference of two perfect squares?EasyLevel 65Which of the following expressions is identified as a difference of two squares?EasyLevel 65Which is the correct difference between ( (x-1)^2 ) and (x^2-1)?EasyLevel 65Simplify ( (2a+3)(2a-3) ).EasyLevel 65Which of the following identities represents the difference of two squares?EasyLevel 65Which of the following expressions is the correct form of the square of a sum of two terms, \((a+b)^2\)?EasyLevel 65Which of the following expressions represents the correct expansion of \((a+b)^2\)?EasyLevel 65In ( (x+8)^2 ) and ( (x-8)^2 ), which term changes sign?EasyLevel 65What is the main use of identities?EasyLevel 65What is the correct expansion of ( (a+b)^2 )?EasyLevel 66What is the correct expansion of ( (a-b)^2 )?EasyLevel 66Choose the expansion of ( (x+5)^2 ).EasyLevel 66Which of the following expressions represents the square of a sum of two terms?EasyLevel 66What is ( (p+q)(p-q) ) equal to?EasyLevel 66Which of the following expressions matches the square of a sum of two terms, \,\((a+b)^2\)?EasyLevel 66What will be the value of ( (m+3)(m-3) )?EasyLevel 66Which is the correct expansion of ( (2x+1)^2 )?EasyLevel 66Which of the following expressions is a perfect square of a binomial?EasyLevel 66What is the expansion of ( (x+2)(x+5) )?EasyLevel 66