Square without using calculator

We can see the symmetry of expression about 95 and calculate the expression orally!! $\large\color{#D61F06}{(95+4)^2}+\color{#0C6AC7}{(95+3)^2}+\color{#456461}{(95+2)^2} +\\ \large \color{#624F41}{(95+1)^2}+(95)^2 +\color{#624F41}{(95-1)^2}+\\\large\color{#456461}{(95-2)^2}+\color{#0C6AC7}{(95-3)^2}+\color{#D61F06}{(95-4)^2}$ $\large=9\times(95)^2+2(1^2+2^2+3^2+4^2)$ $\large =81225+60=\boxed{81285}$

$\color{#302B94}{\boxed{\mathcal{NOTE:-}\\ \bullet~\text{Use} (a+b)^2+(a-b)^2=2(a^2+b^2) \\\text{ on similar coloured terms}\\\bullet~ 95^2=\overline{(9\times 10)} 25=9025 }}$