Question

Which of the following is the product of the rational expressions shownbelow?x + 3 X-3x + 2 X-2O A.94O B. *2-9o xx² - 4O c.4O D.x² - 4x²-9

Answer 1

we are to solve

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

simplifying this we get

`\begin{gathered} \frac{x\text{ + 3}}{x\text{ + 2}}\text{ X }\frac{x\text{ -3}}{x\text{ -2}} \\ =\text{ }\frac{(x\text{ + 3)(x - 3)}}{(x\text{ + 2)(x - 2)}} \\ \exp anding\text{ the expression} \\ =\text{ }\frac{x^2\text{ -3x + 3x - 9}}{x^2-2x\text{ + 2x - 4}} \\ =\text{ }\frac{x^2\text{ - 9}}{x^2\text{ - 4}} \end{gathered}`

Hence, the correct option is B