Calculate

(X+1)(x+2)²

1 answer

To calculate (X+1)(X+2)², we first need to expand the expression:

(X+1)(X+2)²
= (X+1)(X² + 4X + 4)
= X(X² + 4X + 4) + 1(X² + 4X + 4)
= X³ + 4X² + 4X + X² + 4X + 4
= X³ + 5X² + 8X + 4

So, (X+1)(X+2)² simplifies to X³ + 5X² + 8X + 4.