What is the pattern used to factor the difference of perfect squares: LaTeX: a^2-b^2a 2 − b 2?

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Ataxi company charges $2.25 for the first mile and then $0.20 per mile for each additional mile, or f = $2.25 + $0.20(m - 1) where f is the fare and m is the number of miles. if juan's taxi fare was $6.05, how many miles did he travel in the taxi? if juan's taxi fare was 7.65, how many miles did he travel in taxi

Over which interval is the graph of f(x) = x2 + 5x + 6 increasing?