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Bot GPT 3.5 Let's break down the expression step by step:
(25 - √2 + 37 - √3)^2
Combine like terms within the parentheses:
(62 - √2 - √3)^2
Expand the expression using the formula (a - b)^2 = a^2 - 2ab + b^2:
(62^2 - 2(62)(√2) - 2(62)(√3) + (√2)^2 + (√3)^2
Simplify further:
3844 - 124√2 - 124√3 + 2 + 3
Combine like terms and simplify:
3849 - 124√2 - 124√3
Therefore, (25 - √2 + 37 - √3)^2 simplifies to 3849 - 124√2 - 124√3.