(-0,8x-0,5b)²

To simplify the expression \((-0.8x - 0.5b)^2\), you can use the formula for squaring a binomial, which is given by \((a + b)^2 = a^2 + 2ab + b^2\). In your case, we can identify \(a = -0.8x\) and \(b = -0.5b\). Let's apply the formula step by step: 1. **Square the first term**: \[ (-0.8x)^2 = 0.64x^2 \] 2. **Square the second term**: \[ (-0.5b)^2 = 0.25b^2 \] 3. **Multiply the two terms together and then double it**: \[ 2 \cdot (-0.8x) \cdot (-0.5b) = 0.8x \cdot 0.5b = 0.4xb \quad \text{(and including the factor of 2)} \quad = 0.8xb \] Now, putting it all together, we have: \[ (-0.8x - 0.5b)^2 = 0.64x^2 + 0.8xb + 0.25b^2 \] So, the simplified form of \((-0.8x - 0.5b)^2\) is: \[ \boxed{0.64x^2 + 0.8xb + 0.25b^2} \]