1,320 prompts matching "Explaining why a^1/n means the nth root of a"
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Common Mistakes: Proving that a quadratic expression is positive for every real x
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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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Worked Example: Evaluating a polynomial by substitution
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Show All Working: Solving a cubic equation by factorisation
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Common Mistakes: Adding, subtracting and multiplying two polynomials
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Final Revision: Proving an identity by working on one side only
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Learn: Solving sin x equals a given value between 0 and 360 degrees
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Worked Example: Solving cos x equals a negative value, and finding both solutions
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Final Revision: Losing solutions by dividing through by cos x
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Common Mistakes: Identifying a conic from a general second-degree equation
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Show All Working: Replacing two parallel forces by a single resultant
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Learn: Two particles joined by a light inextensible string over a smooth pulley
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Learn: Angular velocity, and how it relates to linear speed
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Show All Working: A mass on a spring performing simple harmonic motion
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Final Revision: Showing that a given motion is simple harmonic
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Inequality word problem with a real-life constraint
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Factorising an expression with a common algebraic bracket factor
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Simplifying algebraic fractions that need factorising a quadratic first
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Solving an equation formed by equating two algebraic fractions
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