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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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755 prompts matching "The binomial expansion of a plus b all to the power n"

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Quiz: Writing a recurring decimal as a fraction to show it is rational

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Spot My Mistake: Why root 8 and root 2 turn out to be similar

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WAEC Prep: Ordering a list of surds by size

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Quiz: Subtracting one surd from another

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Spot My Mistake: Dividing one surd by another

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Show All Working: Simplifying a surd expression that contains brackets

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Worked Example: Rationalising a denominator that is a single surd

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WAEC Prep: Rationalising a denominator inside a larger expression

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Show All Working: Checking a rationalised answer by decimal approximation

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Worked Example: Why multiplying by the conjugate clears the surd

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Spot My Mistake: Solving a surd equation that leads to a quadratic

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Worked Example: Reading the symbol used for a binary operation

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Show All Working: Evaluating a repeated operation such as a*(b*c)

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Worked Example: Testing the even numbers for closure under addition

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Quiz: Testing the odd numbers for closure under addition

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Show All Working: Showing a set is not closed by a single counter-example

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Show All Working: An operation that is associative but not commutative

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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3

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Quiz: Finding the identity element from an operation table

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Show All Working: An element with no inverse under a given operation

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