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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

Which of the following identities expresses the difference of two squares as a product of factors?EasyLevel 67Simplify ( (x-3)(x+3)+9 ).EasyLevel 67Which of the following expressions is the correct form of the identity for the difference of squares?EasyLevel 67How will you write ( (x+7)(x+7) ) as an identity form?EasyLevel 67What is the main difference between ( (a-b)^2 ) and (a^2-b^2)?EasyLevel 67Which is the complete expansion of ( (x+7)^2 )?MediumLevel 62Which of the following expressions represents the identity \(a^2+2ab+b^2\)?MediumLevel 62Which of the following algebraic identities is used to express the square of the difference of two terms?MediumLevel 62What do we get after simplifying ( (p+9)(p-9) )?MediumLevel 62Which form is most useful for finding ( 98^2 ) using an identity?MediumLevel 62What will be the coefficient of (x) in ( (x+3)(x+8) )?MediumLevel 62What is the expansion of ( (m-6)(m+2) )?MediumLevel 62Which of the following expressions represents the correct expansion of \((a-b)^2\)?MediumLevel 62In which form can ( y^2-20y+100 ) be written?MediumLevel 62Which of the following expressions can be identified as a difference of two squares?MediumLevel 62What is obtained by simplifying ( (a+b)^2+(a-b)^2 )?MediumLevel 62Which of the following expressions is the algebraic identity for the square of the difference of two terms?MediumLevel 62How many double product terms are there in ( (a+b+c)^2 )?MediumLevel 62Why does (2qr) appear in ( (p+q+r)^2 )?MediumLevel 62What will be the term containing (xy) in ( (2x+3y+z)^2 )?MediumLevel 62