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 identity form is most suitable for ( 1002^2 )?MediumLevel 62Which algebraic identity is used to expand the square of the sum of two terms?MediumLevel 62Which form is easiest for finding ( 999^2 )?MediumLevel 62Which of the following expressions is a perfect-square trinomial?MediumLevel 62Which of the following expressions can be factorised as
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平台直属MediumLevel 62Which is the correct value of ( (5x+4)^2-(5x-4)^2 )?MediumLevel 62Which of the following identities represents the factorisation of a difference of two squares?MediumLevel 62What will be the constant term in (3u + 2v + 1)²?MediumLevel 62Simplify ( (x+y)^2-x^2-y^2 ).MediumLevel 62What is the simplified form of ( (x-y)^2-x^2-y^2 )?MediumLevel 62What is the main difference between ( (2x+3)(2x-3) ) and ( (2x-3)^2 )?MediumLevel 62Which of the following products represents the difference of squares identity \,\((a+b)(a-b)=a^2-b^2\)?MediumLevel 62When is the correct use of algebraic identities most useful?MediumLevel 62What is the correct expansion of ( (2x+3)^2 )?MediumLevel 63Choose the expansion of ( (x+7)(x-2) ).MediumLevel 63What is ( (5a+2b)(5a-2b) ) equal to?MediumLevel 63Which is the best form to find ( 98^2 ) using an identity?MediumLevel 63( x^2+16x+64 ) is the perfect square of what?MediumLevel 63What is the factor form of ( p^2-18p+81 )?MediumLevel 63Which identity is useful to calculate \( 103\times97 \)?MediumLevel 63