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15 cards from this deck
A logical argument using algebra to demonstrate mathematical statements are true
Begin with what you know (given info), work step-by-step
Writing the conclusion first instead of starting with known facts
Show it can be written as n2n^2n2 where nnn is an integer
Expand, simplify, and factorise to identify perfect square
When proving expressions are always positive
(x−a)2+b(x - a)^2 + b(x−a)2+b, where if b>0b > 0b>0, expression is positive
Squared expressions are always ≥0\geq 0≥0 (never negative)
Take half the coefficient of xxx and square it
Factor and cancel common terms, then use properties
With the given expression, not the result to prove
Show every algebraic step clearly - don't skip steps
Clear statement matching what the question asked to prove
Writing conclusion first and working backwards
Forgetting to state variables are integers when crucial
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