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 ± b± 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 + c+ 2ab + 2ac + 2bc

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


Here’s a link to the PDF file for the above notes:

NOTES – Algebraic Identities

You may print these notes through the PDF file and refer to them for your personal use as required. You are forbidden to reproduce any part of these notes without our prior permission. For more information, please contact us or go through our copyright policy. 



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

Quick Links: all ICSE notes and tips in one place


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