1,246 prompts matching "Set theory laws: commutative and associative"
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Spot My Mistake: Finding the inverse of an element under a binary operation
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Learn: Simplifying a surd by extracting the largest perfect square
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Worked Example: Collecting like surds in a single sum
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Practice: Rationalising a denominator of the form root a
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Spot My Mistake: Squaring a bracket that contains a surd
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Final Revision: Proving that root 2 is irrational
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Quiz: Solving an index equation by writing both sides to the same base
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Spot My Mistake: The power law of logarithms
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Final Revision: Sketching the graph of a logarithmic function
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Quiz: Forming a quadratic equation whose roots are given
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Practice: The condition for a quadratic equation to have equal roots
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Spot My Mistake: Forming a new equation whose roots are the reciprocals of the original
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Final Revision: Solving a disguised quadratic by substitution
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Worked Example: Finding one over alpha plus one over beta
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Quiz: Finding alpha cubed plus beta cubed
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Final Revision: Checking a symmetric-function answer by solving the equation outright
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Worked Example: Evaluating a polynomial by substitution
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Practice: Factorising a cubic completely once one factor is known
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Spot My Mistake: The factor theorem for a divisor of the form ax minus b
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Learn: The sum of the roots of a cubic read from its coefficients
You are my personal SS3 Further Mathematics tutor. Teach me the sum of the roots of a cubi