Class 9 · Chapter 4

Exploring Algebraic Identities

Key identities and their use in expansion & factorisation.

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Ganita Manjari · Class 9 (2026-27)

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Detailed theory

Expand carefully — students often forget the middle term. Verify by multiplying out.

Key concepts & formulas

(a+b)^2 = a^2 + 2ab + b^2

(a-b)^2 = a^2 - 2ab + b^2

(a+b)(a-b) = a^2 - b^2

(a+b)^3 = a^3 + 3a^2b + 3ab^2 + b^3

a^3 + b^3 = (a+b)(a^2 - ab + b^2)

;

a^3-b^3=(a-b)(a^2+ab+b^2)