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 algebraic identities gives the correct factorised form of \,\(a^2+2ab+b^2\)?EasyLevel 66Which of the following expressions represents the correct identity for \((a-b)^2\)?EasyLevel 66What is the last term in ( (u-v)^2 )?EasyLevel 66Using identity, which form is correct for ( (7+3)^2 )?EasyLevel 66Which expansion is correct for ( (10-3)^2 )?EasyLevel 66Which identity can quickly calculate \( 104\times96 \)?EasyLevel 66Which of the following statements is an algebraic identity for all real numbers a and b?EasyLevel 66Which of the following algebraic identities expresses the difference of two squares as the product of two binomials?EasyLevel 66Which of the following equations is an algebraic identity for all real values of the variables?EasyLevel 66What is the simplified form of ( (x+4)^2-(x-4)^2 )?EasyLevel 66Which of the following expressions can be factorised using the identity for the difference of two squares, \(a^2-b^2=(a+b)(a-b)\)?EasyLevel 66Which of the following expressions can be factorised as a difference of two squares?EasyLevel 66To calculate (1002^2), how is it good to write (1002)?EasyLevel 66What is the difference between ( (m+n)^2 ) and (m^2+n^2)?EasyLevel 66Which extra term is present in ( (m-n)^2 ) compared with (m^2+n^2)?EasyLevel 66In ( (x+3)^2=x^2+6x+9 ), where did (9) come from?EasyLevel 66What is the middle term in ( (2a-b)^2 )?EasyLevel 66What will be the simplified form of ( (x+8)(x-8) )?EasyLevel 66Which of the following expressions can be factorised as a difference of two perfect squares?EasyLevel 66What is the simplified form of ( (3x+2)(3x-2) )?EasyLevel 66