Free: Which expression is equivalent to the following complex fraction?

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Which expression is equivalent to the following complex fraction?

See a solution process below:

• We can use this rule for dividing fractions to simplify this expression:
• abcd=a×db×c
• Substituting gives:
• xx−3x2x2−9⇒x×(x2−9)(x−3)×x2
• We can factor (x2−9) as (x−3)(x+3) giving:
• x×(x−3)(x+3)(x−3)×x2

We can now cancel common terms in the numerator and denominator? giving:

• x×(x−3)(x+3)(x−3)×x2x⇒
• x+3x which is the third answer.

Which expression is equivalent to the following complex fraction? is over.

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