Posted by Matt on Monday, January 28, 2008 at 3:55pm.
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, Monday, January 28, 2008 at 4:26pm
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, Monday, January 28, 2008 at 4:32pm
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  Reiny, Monday, January 28, 2008 at 9:23pm
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)
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