How To Simplify Fractions

When in doubt, take the simplest approach.

It makes sense why teachers have kept this secret: it’s too good to be true!

Bet You Didn’t Learn This In Elementary School Algebra? What’s that?

Geometry Done The Correct Way

Advanced Calculus

Having trouble deriving? Try this expert trick:

When Your Calc Teacher Gives You A Hard Problem

Problem:

Solution: And you thought this wasn’t solvable?

Advice For Writing Proofs

Sometimes, the proof requires some thinking outside the box. If you find yourself stuck, try one of these:

• Proof by Profanity: “&%*&#@, therefore…”
• Proof by Obviousness: “So clear it doesn’t even need to be explained”
• Proof by Intimidation: “Don’t be stupid, of course it’s true!”
• Proof by Google: “Google says it’s true, so…”
• Proof by Reader: *Left as an exercise to the reader*
• Proof by Citing a Non-Existent Theorem: “According to the xyz-hypothesis…”
• Proof by Plausibility: “It sounds good so it must be true.”
• Proof by Calculus: “This proof requires calculus, so we’ll skip it.”
• Proof by Lack of Counterexample: “I can’t think of a reason why this wouldn’t be true, so…”
• Proof by Postponement: “The proof is very long, see appendix” *forget to put in appendix*
• Proof by Vanity: “I mean, it’s not like I could be wrong so…”

How Do We Know Math Is Real? It’s Not