755 prompts matching "Spot the examiner's trick in a factorisation question"
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Final Revision: Simplifying a fraction whose numerator and denominator are both surds
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Worked Example: Rationalising a denominator that is a single surd
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Learn: The conjugate of a compound surd expression
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Final Revision: Checking a conjugate answer by multiplying back
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Learn: Solving an equation with a single square root term
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Worked Example: Squaring both sides safely when solving a surd equation
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Quiz: Checking a surd equation for extraneous roots
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Practice: Solving an equation with a surd on each side
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Final Revision: A word problem that leads to an equation in surd form
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Learn: What a binary operation actually is
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Quiz: Evaluating a*b from a given rule
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Practice: A binary operation set out as a table
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Common Mistakes: A binary operation that is ordinary addition in disguise
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Learn: What closure means for a binary operation
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Practice: Testing a set for closure under multiplication
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Worked Example: Testing a*b against b*a for a given rule
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Quiz: Reading commutativity off a symmetrical operation table
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Explain Back: What it means for an operation to be associative
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Common Mistakes: Subtraction as an example of neither law
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Final Revision: Why brackets matter when an operation is not associative
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