Morgan made a mistake when subtracting the rational expressions. the fraction with numerator 3 t squared minus 4 t plus 1 and denominator t plus 3 minus the fraction with numerator t squared plus 2 t plus 2 and denominator t plus 3 is equal to the fraction with numerator 2 t squared minus 2 t plus 3 and denominator t plus 3 What was Morgan’s error?

Because the denominators are the same, subtract the numerators and keep the denominator: (3t² − 4t + 1) − (t² + 2t + 2). Distributing the negative gives 3t² − 4t + 1 − t² − 2t − 2 = 2t² − 6t − 1. Morgan’s numerator, 2t² − 2t + 3, suggests she changed the signs of the t² term but not the +2t and +2 terms. So she forgot to distribute the negative sign to two terms in the second expression.

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