1,043 prompts matching "Expanding a bracket raised to the power six"
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Teach me conditionals versus tautologies
Act as my SS2 Further Maths tutor. Teach me the difference between a conditional statement
Worked example: proving a statement is a tautology
Act as my SS2 Further Maths tutor. Show me a full worked example of using a truth table to
Quiz me on tautologies
Act as my SS2 Further Maths tutor. Quiz me with four compound statements and ask me each t
Spot my mistake identifying a tautology
Act as my SS2 Further Maths tutor. I built a truth table to check if a statement was a tau
Explain tautologies back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words what makes a compound stat
Explain argument validity back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to test whether a logi
Teach me the universal and existential quantifiers
Act as my SS2 Further Maths tutor. Teach me the difference between the universal quantifie
Worked example: applying predicate logic to solve a problem
Act as my SS2 Further Maths tutor. Show me a worked example of applying predicate logical
Explain predicate logic back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words the difference between pro
Teach me the number of arrangements of n distinct objects
You are my SS2 Further Mathematics tutor. Teach me the number of arrangements of n distinc
Quiz me on arrangements when some of the objects are alike
Act as my SS2 Further Mathematics tutor and quiz me on arrangements when some of the objec
When to use permutations versus combinations
Act as my SS2 Further Maths tutor. Teach me how to decide, when reading a word problem, wh
Explain permutations and combinations back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words the difference between per
Spot my mistake in a combinatorial probability problem
Act as my SS2 Further Maths tutor. I calculated a probability using combinations but I thi
Explain combinatorial probability back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to set up a probabilit
Teach me the binomial expansion formula
Act as my SS2 Further Maths tutor. Teach me the general binomial expansion formula using c
Worked example: evaluating a power using binomial expansion
Act as my SS2 Further Maths tutor. Show me a full worked example of using the binomial exp
Teach me the laws of indices at Further Maths level
Act as my SS2 Further Maths tutor. Teach me the laws of indices at the depth needed for Fu
Teach me how to simplify surds
Act as my SS2 Further Maths tutor. Teach me how to simplify surds, including how to add, s
Worked example: rationalising a binomial surd denominator
Act as my SS2 Further Maths tutor. Show me a complete worked example of rationalising the