996 prompts matching "Simplifying an expression with letters and indices"
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Common Mistakes: Checking a completed square by expanding it again
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Worked Example: Substituting a, b and c into the quadratic formula correctly
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Show All Working: Choosing between factorising and the formula
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Common Mistakes: A sign error in the formula, and how to catch it
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Practice: Forming an equation from a given sum and product
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Worked Example: The identity linking alpha squared plus beta squared to the sum and product
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Show All Working: Forming an equation whose roots are three alpha and three beta
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Common Mistakes: A symmetric function needing the sum and product twice over
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Worked Example: Substituting into the quadratic and tidying up
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Common Mistakes: A word problem giving one linear and one quadratic equation
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Show All Working: Adding and subtracting two polynomials
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Common Mistakes: The degree of the quotient and of the remainder
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Show All Working: A remainder of nought, and what it means
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Worked Example: Testing a list of candidates to find a factor
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Worked Example: Factorising a cubic into a linear and a quadratic factor
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Common Mistakes: Factorising fully, and knowing when to stop
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Show All Working: Why a conditional and its converse are not equivalent
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Common Mistakes: Writing the converse, inverse and contrapositive of one statement
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Common Mistakes: Deciding between tautology, contradiction and contingency
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Worked Example: Premises and conclusion
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