Algebra
posted by Matt on .
SImplify:
(x  9/x) / (1 + x/3)
and (m^1 + n^1) / (m^3 + n^3)
I have no idea what to do

Answer to #2:
m^4n^2.
I subtracted the m's and subtracted the m's. It's one of the exponent rules.
I have NO idea how to do the first question. 
you cant do that, Miley, the m's and n's are separated by an addition sign, so you cant use the quotient of powers rule

oh okay sry, at least i tried

for the first one, just multiply them using FOIL
to get
x + (x^2)/3  9/x  3
for the second, use the rule for negative exponents to write
(1/m + 1/n)/(1/m^3 + 1/n^3)
finding common denominators and simplifying both top and bottom I got
(m+n)/mn / (m^3 + n^3)/m^3n^3
= (m+n)/mn * (m^3n^3)/(m^3 + n^3)
= m^2n^2(m+n) / (m^3 + n^3)
the bottom factors to (m+n)(m^2  mn + n^2)
so we have
m^2n^2(m+n) / ((m+n)(m^2  mn + n^2))
= m^2n^2 / (m^2  mn + n^2)