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That's very cool I forgot about this propertie great video 🙌🙏👍
I simply imagined a 2024x2024 square with a missing corner being divided into 2023 length lines. Easy problem but fun to find a shortcut
a^2-b^2 = (a+b)(a-b)
I've used (2023+1)(2023+1) trick. 🙂
Me too
Easy,,,,,(a² - b²) = (a+b)(a-b)
(2024-1)(2024+1)/2023(2023)(2025)/20232025 ans
2024² = (2023 + 1)² => 2024² - 1 = (2023 + 1)² - 1 = 2023² + 2*2023 +1² - 1 = 2023² + 2*2023 = 2023*(2023 + 2) = 2023 * 2025. Solution should be 2025, lets take a look to the video 😉
Good job!
2025
(2024²-1)/2023 = ((2023+1)²-1)/2023 = (2023²+2*2023+1-1)/2023 = (2023²+2*2023)/2023 = 2023+2 = 2025
That's very cool I forgot about this propertie great video 🙌🙏👍
I simply imagined a 2024x2024 square with a missing corner being divided into 2023 length lines. Easy problem but fun to find a shortcut
a^2-b^2 = (a+b)(a-b)
I've used (2023+1)(2023+1) trick. 🙂
Me too
Easy,,,,,
(a² - b²) = (a+b)(a-b)
(2024-1)(2024+1)/2023
(2023)(2025)/2023
2025 ans
2024² = (2023 + 1)² => 2024² - 1 = (2023 + 1)² - 1 = 2023² + 2*2023 +1² - 1 = 2023² + 2*2023 = 2023*(2023 + 2) = 2023 * 2025. Solution should be 2025, lets take a look to the video 😉
Good job!
2025
2025
(2024²-1)/2023 = ((2023+1)²-1)/2023 = (2023²+2*2023+1-1)/2023 = (2023²+2*2023)/2023 = 2023+2 = 2025