Simplify the algebraic fraction fully: .
Answer and explanation
Correct answer: C.
- Step 1: Factorise the quadratic numerator: .
- Step 2: Factorise the denominator as a difference of two squares: .
- Step 3: Cancel the common factor from numerator and denominator: .
Answer
.
Why not the others: cancels instead of ; makes a sign error when factoring the numerator; inverts the cancelled expression.
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