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The product of the rational expressions shown is x² / x² + 5x + 6.
The product of the rational expressions given is calculated by performing multiplication operation as show below.
The given rational expressions;
(x / x + 3)*(x / x + 2)
The product of the numerator = x²
The product of the denominator = (x + 3)(x + 2)
(x + 3)(x + 2) = x² + 2x + 3x + 6
(x + 3)(x + 2) = x² + 5x + 6
final expression of the products = numerator / denominator
= x² / x² + 5x + 6
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