dividing monomials
posted by De'Ann .
what is (x + 7) to the 2 power divided by (x to the 2nd power  49) to the 1 power

It's easier to answer if you write it algebraically. Note that
x^249 = (x+7)(x7)
Note also that dividing by
(x^249)^1 is the same as multiplying by (x^2 49) or(x+7)(x7)
Therefore
1/(x+7)^2 * (x+7)(x7) = (x7)/(x+7)