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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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