Question

Expansion of (a + b)3

(a + b)3 = (a + b) (a +b) ​

Answer 1

Answer:

(a + b)3 = (a + b) (a + b) (a + b) = (a + b) (a + b)2

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

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

= a3+ 2a2b + ab2+ ba2 + 2ab2+ b3

= a3+ 3a2b + 3ab2+ b3

• (a + b)3 = a3 + 3a2b + 3ab2 + b3

Answer 2

a³ + 3a²b + 3ab² + b³

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