There are some fundamental Algebraic Equations & Identities that you should always remember regardless of which Mathematical topics you are studying. These basic algebraic equations are the backbone of simplifications and can be used for derivations and deductions in any mathematical expression.
- (a + b)2 = a2 + 2ab + b2
- (a – b)2 = a2 – 2ab + b2
- a2 – b2 = (a + b)(a – b)
- (a + b)3 = a3 + 3a2b + 3ab2 + b3
- (a – b)3 = a3 – 3a2b + 3ab2 – b3
- a3 – b3 = (a – b)(a2 + ab + b2)
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