Algebra 10
3 marks · NormalSimplify the following algebraic fraction as much as possible:
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2x - \frac{8}{x} \quad \text{or} \quad \frac{2(x^2-4)}{x}\quad \text{or} \quad 2x - \frac{8}{x}
Also accept: \frac{2x^2 - 8}{x}
Common mistakes: Only reducing partway and not splitting; Not factoring completely
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Marking points
M1 · 1 mark · Factors out the greatest common factor from numerator.
M2 · 1 mark · Cancels factor from numerator and denominator.
A1 · 1 mark · Arrives at or equivalent fully simplified form.
Worked solution