Question

Complete the formulas:-
1. (a+b)^3=____

Answer 1

Answer:

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

Answer 2

(a + b)³ = a³ + 3a²b + 3ab² + b³.

Explanation:

Given:  (a + b)³ = ?

First split the exponential form into two.

(a + b)³ = (a + b) ∙ (a + b)²

= (a + b)(a² + 2ab + b²) [We know that (a + b)²  = a² + 2ab + b²]

= a(a² + 2ab + b²) + b(a² + 2ab + b²)  [multiply each term with the second brackets]

= a³ + 2a²b + ab² + ba² + 2ab² + b³

= a³ + 3a²b + 3ab² + b³.

To know more:

Complete the formulas:- 1. (a+b)^3=____ - Brainly.in

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