Question

Expand using identity (3a+2b)³​

Answer 1

Step-by-step explanation:

$(3a + 2b) {}^{3} \\ = 27 {a}^{3} + 8 {b}^{3} + 3 \times 3a \times 2b(3a + 2b) \\ = 27 {a}^{3} + 8 {b}^{3} + 18ab(3a + 2b) \\ = 27 {a}^{3} + 8 {b}^{3} + 54 {a}^{2} b + 36a {b}^{2} \\ \\ \\ \\ identity \\ (a + b) {}^{3} = {a}^{3} + {b}^{3} + 3ab(a + b)$

Answer 2

Answer:

27a³ + 8b³ + 54a²b + 36ab²

Step-by-step explanation:

( 3a + 2b )³

Identity / formula : -

( a + b ) = a³ + b³ + 3 ( ab ) ( a + b )

Here.

a = 3a

b = 2b

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

= 27a³ + 8b³ + 18ab ( 3a + 2b )

= 27a³ + 8b³ + 54a²b + 36ab²