Multiply the following: (x−5)2

Sure, here is the step by step solution:

Step 1: Write down the expression: (x−5)²

Step 2: Remember that (x−5)² is the same as (x−5)(x−5)

Step 3: Use the FOIL method to multiply the two binomials:

First terms: x * x = x² Outer terms: x * -5 = -5x Inner terms: -5 * x = -5x Last terms: -5 * -5 = 25

Step 4: Combine like terms:

x² - 5x - 5x + 25 = x² - 10x + 25

So, (x−5)² = x² - 10x + 25