Algebra 10
2 marks · HardSimplify the following algebraic fraction as far as possible:
Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.
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\frac{2(x + 2)}{x + 2} = 2\ (x\neq-2,\ x\neq2)
Also accept: 2 (x \neq -2,\ x \neq 2)
Common mistakes: Failing to restrict domain
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Marking points
M1 · 1 mark · Correctly factorises numerator and denominator (numerator as 2(x-2), denominator as (x+2)(x-2)).
A1 · 1 mark · Correct final simplified answer, cancelling common factors, and noting restrictions on x (x≠2, x≠-2).
Worked solution
First, factorise numerator and denominator:
So,
The (x + 2)(x - 2) terms cancel, leaving 2, provided x ≠ 2 and x ≠ –2.