Expand \((a - p + m)^{2}\).
\(a^{2} + p^{2} + m^{2} - 2ap - 2pm + 2am\)
Using the standard identity for the square of a trinomial, (a − p + m)² expands to a² + p² + m² − 2ap − 2pm + 2am, obtained by squaring each term and doubling the product of every pair with its correct sign. Hence, a² + p² + m² − 2ap − 2pm + 2am is correct.
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