2(b+1)²-4b=

Expand the squared term: (b+1)² = b² + 2b + 1.

Substitute back into the expression: 2(b² + 2b + 1) - 4b.

Distribute the 2: 2b² + 4b + 2 - 4b.

Combine like terms: 2b² + 2.