Compute $95^2$ in your head.
I know that $95^2$ is the same as $(100 - 5)^2$, so I can use the formula $(a - b)^2 = a^2 - 2ab + b^2$. Plugging in $a = 100$ and $b = 5$, I get $(100 - 5)^2 = 100^2 - 2 \times 100 \times 5 + 5^2$. $100^2$ is just $10000$, and $2 \times 100 \times 5$ is $1000$. $5^2$ is $25$, so I have $10000 - 1000 + 25$. This is just $9025$, which is the answer. 