1,299 prompts matching "Simplifying an expression with brackets and indices together"
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Final revision: my three hardest Further Maths topics
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Practice: The difference of two sets, A minus B
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Show All Working: A three-set Venn diagram drawn from a subject survey
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Common Mistakes: Showing that intersection distributes over union
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Practice: Testing a binary operation for associativity
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Common Mistakes: A binary operation defined by arithmetic modulo n
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Practice: Rationalising a denominator of the form root a
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Show All Working: Expressing a number in the form a root b
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Practice: The condition for a quadratic equation to have equal roots
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Show All Working: Solving a quadratic by completing the square
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Show All Working: Finding a coefficient given a stated relation between the roots
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Common Mistakes: Symmetric functions when the three roots of a cubic are involved
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Practice: Factorising a cubic completely once one factor is known
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Show All Working: Solving a cubic equation by factorisation
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Practice: Finding the third root of a cubic when two are known
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Show All Working: Three roots in arithmetic progression in a cubic
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Common Mistakes: Three roots in geometric progression in a cubic
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Practice: Choosing a committee that must contain one particular person
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Common Mistakes: Selections in which at least one of a kind must appear
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Common Mistakes: Expressing a cos x plus b sin x in the form R cos of x minus alpha
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