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

Algebra 
Miley,
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. 
Algebra 
Matt,
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

Algebra 
Miley,
oh okay sry, at least i tried

Algebra 
Reiny,
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)