Simplify: (x2−4x+4)−(x2−2x+1)

Answer 1

To simplify the expression \((x^2 - 4x + 4) - (x^2 - 2x + 1)\), follow these steps:

1. Distribute the negative sign across the second polynomial: \[ (x^2 - 4x + 4) - (x^2 - 2x + 1) = (x^2 - 4x + 4) - x^2 + 2x - 1 \]

2. Combine like terms: \[ x^2 - x^2 - 4x + 2x + 4 - 1 \] This simplifies to: \[ -2x + 3 \]

Thus, the simplified expression is: \[ \boxed{-2x + 3} \]