six algebraic identities

1.	six algebraic identities
Answer» Below are some of the Standard Algebraic Identities: Identity I:(a + b)2= a2+ 2ab + b2 Identity II:(a – b)2= a2– 2ab + b2 Identity III:a2– b2= (a + b)(a – b) Identity IV:(x + a)(x + b) = x2+ (a + b) x + ab Identity V:(a + b + c)2= a2+ b2+ c2+ 2ab + 2bc + 2ca Identity VI:(a + b)3= a3+ b3+ 3ab (a + b) Identity VII:(a – b)3= a3– b3– 3ab (a – b) Identity VIII:a3+ b3+ c3– 3abc= (a + b + c)(a2+ b2+ c2– ab – bc – ca

Answer»

Below are some of the Standard Algebraic Identities:

Identity I:(a + b)2= a2+ 2ab + b2

Identity II:(a – b)2= a2– 2ab + b2

Identity III:a2– b2= (a + b)(a – b)

Identity IV:(x + a)(x + b) = x2+ (a + b) x + ab

Identity V:(a + b + c)2= a2+ b2+ c2+ 2ab + 2bc + 2ca

Identity VI:(a + b)3= a3+ b3+ 3ab (a + b)

Identity VII:(a – b)3= a3– b3– 3ab (a – b)

Identity VIII:a3+ b3+ c3– 3abc= (a + b + c)(a2+ b2+ c2– ab – bc – ca

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