Question: (a) Explain how to demonstrate, using the cube shown below, that (a + b) 3 = a 3 + 3a 2 b + 3ab 2

(a) Explain how to demonstrate, using the cube shown below, that

(a + b)3 = a3 + 3a2b + 3ab2 + b3  

(b) What is the volume in terms of a and b of each numbered piece in the figure?

a 6) (4)

(c) An eighth piece is not illustrated. What is its volume?


a 6) (4)

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