Difference of Squares
a2 - b2 = (a-b)(a+b)
a^2 - b^2 = (a-b)(a+b)
Algebraic Identities
Essential formulas for competitive exams like SSC, CAT, UPSC.
Square of Sum
(a+b)2 = a2 + 2ab + b2
(a+b)^2 = a^2 + 2ab + b^2
Square of Difference
(a-b)2 = a2 - 2ab + b2
(a-b)^2 = a^2 - 2ab + b^2
Cube of Sum
(a+b)3 = a3 + 3a2b + 3ab2 + b3
(a+b)^3 = a^3 + 3a^2b + 3ab^2 + b^3
Cube of Difference
(a-b)3 = a3 - 3a2b + 3ab2 - b3
(a-b)^3 = a^3 - 3a^2b + 3ab^2 - b^3
Sum of Cubes
a3 + b3 = (a+b)(a2 - ab + b2)
a^3 + b^3 = (a+b)(a^2 - ab + b^2)
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