Question

list out algebraic identities


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Answer 1

Answer:

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)

Explanation:

The three main algebraic identities in Maths are:

Identity 1: (a+b)^2 = a^2 + b^2 + 2ab

Identity 2: (a-b)^2 = a^2 + b^2 – 2ab

Identity 3: a^2 – b^2 = (a+b) (a-b)

Answer 2

Some Standard Algebraic Identities list are given below:

Identity I: a+b2 = a2 + 2ab + b2

Identity II: a–b2 = a2 – 2ab + b2

Identity III: a2 – b2= a+ba–b

Identity IV: x+ax+b = x2 + a+b x + ab

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

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

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

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