Posted by JOSHI on Saturday, June 23, 2012 at 3:18am.
write expansions:
1) (4/3x+3/4y)^3

maths  Reiny, Saturday, June 23, 2012 at 8:50am
in general
(a+b)^3 = a^3 + 3a^2 b + 3a b^2 + b^3
then ...
(4/3x+3/4y)^3
= (4/3)^3 x^3 + 3(4/3)^2 x^2 (3/4)y + 3(4/3)x (3/4)^2 y^2 + (3/4)^3 y^3
= 64x^3/27 + 144x^2 y/36 + 108xy^2/48 + 27y^3/64
= 64x^3/27 + 4x^2y + 9xy^2/4 + 27y^3/64
testing by letting x=1, y=1
(4/3 + 3/4)^3 = appr 9.0422..
my expression at the end = .0422..
I assume you meant it the way you typed it
if you meant
( 4/(3x) + 3/(4x) )^3 it would totally change the answer.
Answer This Question
Related Questions
 maths  Q.1. write the expansions: (3x+4y)^3
 maths  Find the expansions of (1x)^6 and (1+2x)^6 as far as the terms in x^3. ...
 Fibonacci numbers  I have been working on this question all day and can not ...
 CALC  I am sorry i still don't know how to start. and i am sorry for the ...
 maths  suresh scored 15 mareks more than ramesh in maths.if the sum of their ...
 Math  The least upper bound of a set of real numbers in (0,1) whose decimal ...
 Math  I need help trying to write out these binomial expansions: they all need ...
 precalculus  Explain how the graph of f(x)=(2)/(x3)^2 can be obtained from ...
 Precalculus  Explain how the graph of f(x)=(2)/(x3)^2 can be obtained from ...
 Numerical Analysis  Use Taylor series expansions (zero through fourth order) to...
More Related Questions