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BartSMP [9]
3 years ago
15

Which of the following is the product of the rational expressions shown below ? (x + 3)/(x + 2) * (x - 3)/(x - 2)

Mathematics
1 answer:
Molodets [167]3 years ago
8 0

Answer:

Option D : \frac{x^2-9}{x^2-4} is the correct answer.

Step-by-step explanation:

Given rational expression is:

\frac{x+3}{x+2}*\frac{x-3}{x-2}

In the first step of solving the rational expression, we will multiply the nominators and denominators.

\frac{(x+3)(x-3)}{(x+2)(x-2)}

\frac{x^2-3x+3x-9}{x^2-2x+2x-4}

Now we will solve the alike terms.

\frac{x^2-9}{x^2-4}

The product of rational expression is \frac{x^2-9}{x^2-4}

Hence,

Option D : \frac{x^2-9}{x^2-4} is the correct answer.

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