1. The problem is to evaluate $\left(3.2\right)^2 - \left(1.8\right)^2$. 2. We use the formula for the difference of squares: $$a^2 - b^2 = (a - b)(a + b)$$ where $a = 3.2$ and $b = 1.8$. 3. Calculate $a - b$: $$3.2 - 1.8 = 1.4$$ 4. Calculate $a + b$: $$3.2 + 1.8 = 5.0$$ 5. Multiply the results: $$1.4 \times 5.0 = 7.0$$ 6. Therefore, the value of $\left(3.2\right)^2 - \left(1.8\right)^2$ is $7.0$.