Simplify
\[ 322 \times 322 – 2 \times 322 \times 22 + 22 \times 22 \]
Solution:
Using identity:
\[ a^2 – 2ab + b^2 = (a-b)^2 \]
\[ 322 \times 322 – 2 \times 322 \times 22 + 22 \times 22 \]
\[ = (322)^2 – 2(322)(22) + (22)^2 \]
\[ = (322 – 22)^2 \]
\[ = (300)^2 \]
\[ = 90000 \]