Erin completed the problem correctly. She correctly distributed each term of the first binomial \( (2x-5) \) across the second binomial \( (x+12) \) and kept the exponents and coefficients accurate throughout her calculations.
On the other hand, Joey made a mistake in his addition of the like terms. After distributing the terms, he obtained \( 2x + 24x - 5x - 60 \), which he mistakenly simplified to \( 21x - 60 \). The correct combination of like terms is \( 2x + 24x - 5x = 21x \), but he did not account for the correct coefficients resulting from the distribution. The proper simplified form is \( 2x^2 + 19x - 60 \), as noted by Erin. Joey's error was in miscalculating the sum of his x-terms.
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