Simplify
\[ 0.76 \times 0.76 + 2 \times 0.76 \times 0.24 + 0.24 \times 0.24 \]
Solution:
Using identity:
\[ a^2 + 2ab + b^2 = (a+b)^2 \]
\[ 0.76 \times 0.76 + 2 \times 0.76 \times 0.24 + 0.24 \times 0.24 \]
\[ = (0.76)^2 + 2(0.76)(0.24) + (0.24)^2 \]
\[ = (0.76 + 0.24)^2 \]
\[ = (1)^2 \]
\[ = 1 \]