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The algebraic identity in List-I and List-II are given below. Match List-I with List-II for correct relation between them.

List-IList-II
(A) (a+b)2(a+b)^2(I) a2+b2−2aba^2 + b^2 - 2ab
(B) (a−b)2(a-b)^2(II) a2+b2+2aba^2 + b^2 + 2ab
(C) (a+b)3(a+b)^3(III) a3−b3−3ab(a−b)a^3 - b^3 - 3ab(a-b)
(D) (a−b)3(a-b)^3(IV) a3+b3+3ab(a+b)a^3 + b^3 + 3ab(a+b)

Solution

✅ Correct Option: 2

The standard identities are (a+b)2=a2+b2+2ab(a+b)^2 = a^2+b^2+2ab, so (A)-(II); (a−b)2=a2+b2−2ab(a-b)^2 = a^2+b^2-2ab, so (B)-(I); (a+b)3=a3+b3+3ab(a+b)(a+b)^3 = a^3+b^3+3ab(a+b), so (C)-(IV); and (a−b)3=a3−b3−3ab(a−b)(a-b)^3 = a^3-b^3-3ab(a-b), so (D)-(III).

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