Question

Write 5 examples of the cube of the sum of the two terms and use the formula to expand.

Answer 1

Answer:

(a + b) (a + b) (a + b) = (a + b)3

or, (a + b) (a + b) (a + b) = (a + b) (a + b)2

= (a + b) (a2 + 2ab + b2),

[Using the formula of (a + b)2 = a2 + 2ab + b2]

= a(a2 +2ab + b2) + b(a2 + 2ab + b2)

= a3 + 2a2 b + ab2 + ba2 + 2ab2 + b3

= a3 + 3a2 b + 3ab2 + b3