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Make two cubes of side a and of side b each. Make six parallelopipeds; three of them measuring a × a × b and the remaining three measurings

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Make two cubes of side a and of side b each. Make six parallelopipeds; three of them measuring a × a × b and the remaining three measurings b × b × a. Arrange all these solid figures properly and make a cube of side (a + b).

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(a + b)3 = a3 + 3a2b + 3ab2 + b3 

= a × a × a + 3 × a × a × b + 3 × a × b × b + b × b × b

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