Final answer:
To factor 900 - 1, recognize it as a difference of squares which results in (30 + 1)(30 - 1), making the factored form 31 × 29.
Step-by-step explanation:
The question asks to factor the expression 900 - 1. This can be approached by recognizing it as a difference of squares, where you have a² - b² = (a + b)(a - b). Here, you can see that 900 is a perfect square since 30² = 900, and obviously 1 is 1². Applying the difference of squares, we get (30 + 1)(30 - 1), which is 31 × 29. Hence, the factored form of 900 - 1 is 31 × 29, making the answer B.