Final answer:
The expression (x-5)^(2) can be rewritten without parentheses and simplified as x^(2) - 10x + 25 by using the formula for squaring a binomial.
Step-by-step explanation:
To rewrite and simplify the mathematical expression (x-5)^(2), we will use the formula for squaring a binomial, which states that (a-b)^(2) = a^(2) - 2ab + b^(2).
So, applying this formula to our expression gives us: x^(2) - 2*5*x + 5^(2) = x^(2) - 10x + 25.
Therefore, without parentheses, the simplified version of (x-5)^(2) will be x^(2) - 10x + 25.
Learn more about simplification of mathematical expressions