What is the formula of algebraic identies
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(a + b)2 = a2 + 2ab + b2
(a – b)2 = a2 – 2ab + b2
a2 – b2 = (a + b)(a – b)
(x + a)(x + b) = x2 + (a + b) x + ab
(a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca
(a + b)3 = a3 + b3 + 3ab (a + b)
(a – b)3 = a3 – b3 – 3ab (a – b)
a3 + b3 + c3– 3abc = (a + b + c)(a2 + b2 + c2 – ab – bc – ca)
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☞ What are Algebraic identities ?
"The algebraic equations which are valid for all values of variables in them are called algebraic identities."
- They are also used for the factorization of polynomials.
- In this way, algebraic identities are used in the computation of algebraic expressions and solving different polynomials.
☞Some Basic Algebraic Identities-
- (a + b)² = a² + 2ab + b²
- (a − b)² = a² − 2ab + b²
- (a + b) (a – b) = a² – b²
- (x + a) (x + b) = x² + (a + b)x + ab
- (x + a) (x – b) = x² + (a – b)x – ab
- (x – a) (x + b) = x² + (b – a)x – ab
- (x – a) (x – b) = x² – (a + b)x + ab
- (a + b)³ = a³ + b³ + 3ab (a + b)
- (a – b)³ = a³ – b³ – 3ab (a – b)
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