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 ( (a+b+c)^2 )?MediumLevel 63What is the (mn)-term in ( (2m+n-1)^2 )?MediumLevel 63What is the constant term of ( (x-3)(x+8) )?MediumLevel 63What is the coefficient of (x) in ( (x+4)(x+9) )?MediumLevel 63Which is the expansion of ( (x-6)(x-5) )?MediumLevel 63Which is the correct expansion of ( (4p-3q)^2 )?MediumLevel 63What is the value of ( 1005^2-995^2 )?MediumLevel 63Which of the following expressions is an example of the identity for the difference of two squares?MediumLevel 63What is the simplified form of ( (x+5)^2+(x-5)^2 )?MediumLevel 63To calculate (49^2), writing (49) in which form is simplest?MediumLevel 63What is the simplified form of ( (2x+3y)^2-(2x-3y)^2 )?MediumLevel 63What is the value of ( 73^2-27^2 )?MediumLevel 63Which is the expansion of ( (3x+2)(3x+5) )?MediumLevel 63Which can be written as the simplified factor form of ( 2x^2+12x+18 )?MediumLevel 63What is the factor form of ( 9a^2-25b^2 )?MediumLevel 63In ( (a+b+c)^2 ), from where is the (ab)-term formed?MediumLevel 63What is the constant term in (2x + y + 1)²?MediumLevel 63Which of the following equalities is an algebraic identity for all real values of the variables?MediumLevel 63What is the simplified form of ( (3x-1)^2-(9x^2+1) )?MediumLevel 63If ( (a+b)^2=a^2+10ab+b^2 ), what is the error in the middle term according to the standard identity?MediumLevel 63