Algebra
posted by John .
Checking two problems :
1. x^27x+12 / x^216 =
(x3)(x4) / (x4)(x+4)
(x4) cancels out
Answer (x3)/(x+4)
2. x^23x+2/7x14 divide by x^21/7x+7
x^23x+2/7x14 * 7x+7/x^21
(x1)(x2)7(x+1)/7(x2)(x1)(x+1)
To me it looks like everything cancels out, is that possible?

The first one is OK
[(x^23x+2)/(7x14)]*[(7x+7)/(x^21)]
= [(x2)(x1)7(x+1)]/[7(x2)(x1)(x+1]
= 1
Looks like that is OK too.