Recent content by humanaction

  1. H

    Why does x²yⁿ⁻² − xⁿ⁻²y² = 0 in this factorization proof?

    thank you for your information. my uni allows me to test out of and earn credit for up to calculus iii. i will look into those books. in the meantime, could you try to explain this ellipsis to me? i haven't run into any problems with the other questions from this chapter, I've just never done an...
  2. H

    Why does x²yⁿ⁻² − xⁿ⁻²y² = 0 in this factorization proof?

    i agree. i was going to ask what is the best precalculus book? i am planning on going to uni next autumn and i would like to be able to test out of all my maths if possible to save money. so time is limited. but at the same time i want to learn it right. i enjoy maths and am not just trying to...
  3. H

    Why does x²yⁿ⁻² − xⁿ⁻²y² = 0 in this factorization proof?

    ah yes. so multiplication works the same it seems, but how do you subtract ellipses? sorry I've been out of school for 5 years and never went to uni :(
  4. H

    Why does x²yⁿ⁻² − xⁿ⁻²y² = 0 in this factorization proof?

    How does it not apply? x(xyn-2)-y(xn-2y)= aforementioned dilemma, ignoring the rest of the equation because I'm on my phone...
  5. H

    Why does x²yⁿ⁻² − xⁿ⁻²y² = 0 in this factorization proof?

    Homework Statement Prove xn-yn=(x-y)(xn-1+xn-2y+…+xyn-2+yn-1 Homework Equations 12 basic properties of numbers The Attempt at a Solution I'm all good except I don't see why x2yn-2-xn-2y2=0
  6. H

    Undergrad How to read and evaluate a chain of logical implications

    For the most part. I have zero formal logic and little mathematical background, so it's taking awhile for this to sink in. My philosophy class is telling me that such formalistic logic has no bearing on reality. He says it's because this logic deals not with the content of the strings, or how...
  7. H

    Undergrad How to read and evaluate a chain of logical implications

    Hello, I am a complete novice at formal logic and so far removed from mathematical study that I have no idea how the following should be interpreted, or read, and what its implications are: (a∨~a)∨~a⇒a∨(~a∨~a)⇒(a∨~a)⇒((a∧⊤)∨~a)⇒((a∧(b∨~b)∨~a)⇒(((a∧b)∨(a∧~b))∨~a)⇒...