Question

What are the factors of $({101}^2-{99}^2)$?

• A. 101
• B. 99
• C. 2
• D. 34

Answer 1

Answer: (B), (C)

The correct options are
B

99

C

2

Using the algebraic Identity $(a^2-b^2)=(a-b)(a+b)$, we understand that $(a-b)$ and $(a+b)$ are factors of $a^2-b^2$.

Putting a = 101 and b = 99, we find that 2 and 200 both are the factors of $({101}^2-{99}^2)$​.