Question

Which expression is equivalent to the following complex fraction? StartFraction x Over x minus 3 EndFraction divided by StartFraction x squared Over x squared minus 9 EndFraction StartFraction x minus 3 Over x EndFraction StartFraction x + 3 Over 1 EndFraction StartFraction x + 3 Over x EndFraction StartFraction x Over x + 3 EndFraction

Answer 1

Answer: it c

Step-by-step explanation:

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Answer 2

Answer:

$(C) \dfrac{x+3}{x}$

Step-by-step explanation:

We want to determine an  equivalent expression to:

$\dfrac{x}{x-3} \div \dfrac{x^2}{x^2-9}$

Step 1: Factorise $x^2-9$ using the difference of two squares.

$x^2-9=x^2-3^2=(x-3)(x+3)$

Step 2: Change the division sign to multiplication

$\dfrac{x}{x-3} \times \dfrac{(x-3)(x+3)}{x^2}$

Step 3: Cancel out common terms and simplify

$= \dfrac{x+3}{x}$

The correct option is C.