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to solve (2023^2 - 2022^2), we use the difference of squares formula:

[a^2 - b^2 = (a - b)(a b)]

here, (a = 2023) and (b = 2022):

[2023^2 - 2022^2 = (2023 - 2022)(2023 2022)]

calculate each part:

• (2023 - 2022 = 1)
• (2023 2022 = 4045)

multiply the results:
[1 \times 4045 = 4045]

answer: (\boxed{4045})

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