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Answered a Question in Math
There's a very clever and much simpler alternate solution (I wish I was clever enough to have figured it out myself, but alas, I read...

Answered a Question in Math
I don't understand the kneejerk reaction a lot of "math people" have when asked about this phenomenon. It isn't necessary or even...

Answered a Question in Math
Another method is to look at the prime factorization of 72, which is `72=2^3*3^2.`
Now pull out the largest square that can be...

Answered a Question in Math
Rote memorization will get the job done, but having some sort of number sense, which is hard to define, shouldn't be underestimated....

Answered a Question in Math
We construct the hand step by step, keeping in mind that we don't want to accidentally include the better hands of four of a kind or...

Answered a Question in Math
Also, since the solution intervals have already been given, I'll just add that the answer to the question you actually asked is...

Answered a Question in Math
For both problems, we use the relationship between cartesian and polar coordinates. If a point has cartesian coordinates `(x,y)` ` `...

Answered a Question in Math
For this problem, the factorization is more easily done as

Answered a Question in Math
This just goes to show that "factoring `x^2+5x+8`" is ambiguous, and we need to know which factors are allowed. For example,
... 
Answered a Question in Math
Here's another way to see it:
Consider `x^n+y^n` as a polynomial in the variable `x.` If `x^n+y^n` has a linear factor,...