x2 – 10x + 25A.(x – 5)(x – 5)B.(x + 5)(x + 5)C.Does not factorD.(x – 5)(x + 5)

Sure, let's solve the given expression step by step.

The given expression is: x² – 10x + 25

Step 1: Identify the coefficients.

• The coefficient of x² is 1.
• The coefficient of x is -10.
• The constant term is 25.

Step 2: Check if the expression is a perfect square trinomial.

• A perfect square trinomial takes the form (a - b)² = a² - 2ab + b².

Step 3: Compare the given expression with the form of a perfect square trinomial.

• Here, a² = x², so a = x.
• 2ab = 10x, so 2ab = 2 * x * b = 10x, which gives b = 5.
• b² = 25, so b = 5.

Step 4: Write the expression as a square of a binomial.

• The expression x² – 10x + 25 can be written as (x - 5)².

Step 5: Verify the factorization.

• (x - 5)(x - 5) = x² - 5x - 5x + 25 = x² - 10x + 25.

So, the correct factorization is (x - 5)(x - 5).

Therefore, the correct answer is: A. (x – 5)(x – 5)