Simplify: (22² − 13²) ÷ (22 − 13)

💡 Solution & Explanation

Use the identity a² − b² = (a + b)(a − b). So (22² − 13²) ÷ (22 − 13) = (22 + 13)(22 − 13) ÷ (22 − 13) = 22 + 13 = 35. This saves squaring 22 and 13: 484 − 169 = 315, and 315 ÷ 9 = 35 gives the same answer.