Verify algebraic identity
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To verify the identity (a+b)3 = a3 + b3 + 3a2b + 3ab2 geometrically by using sets of unit cubes. A set of 128 plastic cubes or wooden cubes with dimensions (1unit x 1unit x 1unit). To verify the identity (a+b)3 = a3 + b3 + 3a2b + 3ab2, we shall take value of a = 3units and value of b = 1unit.
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Step-by-step explanation:
(a+b)3=(a+b)2(a+b)
=(a2+2ab+b2)(a+b)
=a3+2a2b+ab2+a2b+2ab2+b3
=a3+3a2b+3ab2+b3
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