755 prompts matching "Why does completing the square work"
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Explain Back: The difference of two squares applied to surd conjugates
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Show All Working: A conjugate where the surd term comes first
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Worked Example: Reading the symbol used for a binary operation
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Worked Example: Testing the even numbers for closure under addition
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Final Revision: Why closure is checked before any other property
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Worked Example: Testing whether star distributes over plus
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Final Revision: Why distributivity links two operations rather than one
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Worked Example: Finding the identity element from a rule such as a*b = a + b - 3
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Common Mistakes: Checking an inverse by working the operation both ways
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Worked Example: The law for multiplying powers of the same base
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Common Mistakes: Why the index laws need the bases to match
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Learn: Why any non-zero number to the power nought is one
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Show All Working: Simplifying an expression that mixes the index types
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Show All Working: The common logarithm, to base ten
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Worked Example: The law for the logarithm of a quotient
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Worked Example: Writing out the terms of a sequence from its nth term
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Explain Back: Spotting the pattern in a sequence of squares or cubes
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Show All Working: Deciding whether a given number is a term of a sequence
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Worked Example: Finding the common difference of an arithmetic progression
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Show All Working: Deciding whether a number belongs to a given arithmetic progression
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