Question

Expand (2x + 3) ³ in (a+b)^3 formula from identities

Answer 1

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Answer 2

Answer:

8 x³ + 36 x² + 54 x + 27

Step-by-step explanation:

By algebraic identities :

( a + b )³ = a³ + b³ + 3 ab ( a + b )

So :

( 2 x + 3 )³ = ( 2 x )³ + ( 3 )³ + 3 . 2 x . 3 ( 2 x +  3 )

                 = 8 x³ + 27 + 18 x ( 2 x + 3 )

                 = 8 x³ + 27 + 36 x² + 54 x

                 = 8 x³ + 36 x² + 54 x + 27

The final answer is 8 x³ + 36 x² + 54 x + 27