Question

who will answer first I will mark as BRAINLIEST

(a+b)3
prove this identity​

Answer 1

Step-by-step explanation:

(a + b)³

=> [(a + b)(a + b)］(a + b)

=> [a(a + b) + b(a + b)] (a + b)

=> (a² + ab + ab + b²) (a + b)

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

=> a³ + 2a²b + ab² + a²b + 2ab² + b³

=> a³ + 3a²b + 3ab² + b³

=> a³ + b³ + 3a²b + 3ab²

=> a³ + b³ + 3ab( a + b)

Therefore,

(a + b)³ = a³ + b³ + 3ab(a + b)

Hope it helps!