ICSE Maths: Algebraic Identities

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Here are several important identities which you may want to keep in mind while solving sums. They will help you out the most in Quadratic Equations, Ratio and Proportion, Trigonometry, etc.

(x + a) (x + b) = x² + (a + b) x + ab

(a ± b)² = a² ± 2ab + b²

(a ± b)³ = a³ ± 3a²b + 3ab² ± b³    OR    (a ± b)³ = a³ ± b³ ± 3ab (a± b) 

a² − b² = (a + b)(a − b)

a³ + b³ = (a + b)(a² − ab + b²)

a³ − b³ = (a − b)(a² + ab + b²)

(a + b + c)² = a² + b² + c² + 2ab + 2ac + 2bc

These are just the basic algebraic identities you may need in the chapters mentioned above.

 

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NOTES – Algebraic Identities

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Also see other helpful study tips and revision notes for ICSE Maths:

ICSE Maths: Tips to Remember Trigonometric Identities

Mathematics: Important Formulae and Points to Note

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