Question

Write identity I & II.​

Answer 1

Answer:

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Step-by-step explanation:

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. You have already learned about a few of them in the junior grades. In this article, we will recall them and introduce you to some more standard algebraic identities, along with examples.

Some Standard Algebraic Identities list are given below:

• Identity I: (a + b)^2 = a^2 + 2ab + b^2

• Identity II: (a – b)^2 = a^2 – 2ab + b^2

• Identity III: a^2 – b^2= (a + b)(a – b)

• Identity IV: (x + a)(x + b) = x^2 + (a + b) x + ab

• Identity V: (a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca

• Identity VI: (a + b)^3 = a^3 + b^3 + 3ab (a + b)

• Identity VII: (a – b)^3 = a^3 – b^3 – 3ab (a – b)

• Identity VIII: a^3 + b^3 + c^3 – 3abc = (a + b + c)(a2 + b^2 + c^2 – ab – bc – ca)