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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 "Expanding a bracket with a coefficient on x"

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Practice: A binary operation set out as a table

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Explain Back: A binary operation defined on the integers

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

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Common Mistakes: A binary operation that is ordinary addition in disguise

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Worked Example: Testing the even numbers for closure under addition

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Practice: Testing a set for closure under multiplication

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Explain Back: Testing the integers for closure under division

I have just studied testing the integers for closure under division in my SS1 Further Math

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Common Mistakes: Closure on a set of three elements under a stated rule

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Explain Back: What it means for an operation to be associative

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

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Common Mistakes: Subtraction as an example of neither law

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Practice: Multiplication distributing over addition in ordinary arithmetic

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Show All Working: Using distributivity to simplify an expression

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Common Mistakes: Distributivity on a set of three elements

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Common Mistakes: Checking an inverse by working the operation both ways

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Common Mistakes: Why the index laws need the bases to match

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Worked Example: Rewriting a negative index as a fraction

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Show All Working: Simplifying an expression that mixes the index types

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Common Mistakes: Writing a root as a fractional index before simplifying

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Worked Example: Solving an indicial equation where one side must be factorised first

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