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
What is the correct expansion of the identity ( (a+b)^2 )?EasyLevel 65Choose the correct expansion of the identity ( (x-y)^2 ).EasyLevel 65The identity ( (p+q)(p-q) ) is equal to what?EasyLevel 65Which of the following identities represents the factorisation of the difference of two squares?EasyLevel 65Which of the following identities represents the square of the difference of two terms?EasyLevel 65In the expansion of which of the following identities is the middle term negative?EasyLevel 65Which of the following expressions can be written as a product of two binomials using the identity for the difference of squares?EasyLevel 65Which of the following expressions can be factorised using the identity \(a^2-b^2=(a-b)(a+b)\)?EasyLevel 65Which algebraic identity is used to factorise a difference of two squares?EasyLevel 65What is the middle term in ( (3a+2b)^2 )?EasyLevel 65Which algebraic identity represents the square of the difference of two terms?EasyLevel 65Which of the following expressions is in the form of the square of a binomial?EasyLevel 65What is the correct simplified result of ( (x+2)(x+3) )?EasyLevel 65Which of the following expressions can be written using the identity for the difference of two squares?EasyLevel 65Which of the following expressions represents the form of the difference of two squares identity?EasyLevel 65Which form is best for finding ( 99^2 ) easily?EasyLevel 65Which of the following expressions is written as a difference of two squares?EasyLevel 65Which of the following pairs of binomials are conjugate binomials?EasyLevel 65What will be the first term in ( (2a+5)^2 )?EasyLevel 65Which of the following expressions can be factorised as a difference of squares over real numbers?EasyLevel 65