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Subjects

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

Find the value of ( 103^2 ) using an identity.MediumLevel 62Which of the following is the correct factorisation of \(x^2-49\)?MediumLevel 62Which of the following expressions is the correct form of the identity for the difference of two squares?MediumLevel 62What is the correct value of ( 54^2-46^2 )?MediumLevel 62Which is the correct expansion of ( (5a-2b)^2 )?MediumLevel 62Simplify ( (7m+3n)(7m-3n) ).MediumLevel 62What is the expansion of ( (x-4)(x+9) )?MediumLevel 62Which term will not appear in ( (2x-7)(2x+7) )?MediumLevel 62What is the simplified form of ( (a+2b)^2-(a-2b)^2 )?MediumLevel 62Which of the following expressions can be factorised using the identity \,\(a^2-b^2=(a+b)(a-b)\)?MediumLevel 62Write ( x^2-49 ) in factors.MediumLevel 62What is the factorisation of ( 121-4y^2 )?MediumLevel 62Which of the following expressions is a perfect-square trinomial representing the square of a binomial?MediumLevel 62What is the correct difference between ( (2p-3)^2 ) and (4p^2-9)?MediumLevel 62Apart from (a^2+b^2+c^2), what part is added in ( (a+b+c)^2 )?MediumLevel 62Which of the following statements represents the algebraic identity for the difference of squares?MediumLevel 62Which of the following trinomials can be written in the form \((x+5)^2\)?MediumLevel 62Which expression correctly represents the square of the difference of two algebraic terms?MediumLevel 62What is the constant term in ( (x+6)(x-1) )?MediumLevel 62What is the coefficient of (x) in ( (x+6)(x-1) )?MediumLevel 62