List all algebraic Identities...!!!
Answers
Answer:
Standard Algebraic Identities List
Standard Algebraic Identities ListIdentity I: (a + b)2 = a2 + 2ab + b2
Standard Algebraic Identities ListIdentity I: (a + b)2 = a2 + 2ab + b2Identity III: a2 – b2= (a + b)(a – b)
Standard Algebraic Identities ListIdentity I: (a + b)2 = a2 + 2ab + b2Identity III: a2 – b2= (a + b)(a – b)Identity IV: (x + a)(x + b) = x2 + (a + b) x + ab.
Standard Algebraic Identities ListIdentity I: (a + b)2 = a2 + 2ab + b2Identity 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.
Standard Algebraic Identities ListIdentity I: (a + b)2 = a2 + 2ab + b2Identity 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)
Answer:
Standard Algebraic Identities List
All the standard Algebraic Identities are derived from the Binomial Theorem, which is given as:
(a+b)n=nC0.an.b0+nC1.an−1.b1+……..+nCn−1.a1.bn−1+nCn.a0.bn
Some Standard Algebraic Identities list are given below:
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)
Step-by-step explanation:
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