What is the sum? the fraction with numerator 3 y and denominator y squared plus 7 y plus 10 plus the fraction with numerator 2 and denominator y plus 2

Factor the first denominator: y² + 7y + 10 = (y + 5)(y + 2). Using the common denominator (y + 5)(y + 2), the sum is [3y + 2(y + 5)]/[(y + 5)(y + 2)] = [5(y + 2)]/[(y + 5)(y + 2)] = 5/(y + 5). This matches the fraction with numerator 5 and denominator y plus 5.

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