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Simplify (25–√+37–√)^2 Show your work. Justify each step.

1 answer

To simplify (25–√+37–√)^2, we first need to expand the expression using the formula (a+b)^2 = a^2 + 2ab + b^2.

Let's let a = 25 and b = √37.

(25 - √37)^2 = (25)^2 + 2(25)(-√37) + (√37)^2
= 625 - 50√37 + 37
= 662 - 50√37

Therefore, the simplified expression is 662 - 50√37.