maths

posted by .

write expansions:

1) (4/3x+3/4y)^3

  • maths -

    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.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. CALC

    I am sorry i still don't know how to start. and i am sorry for the problem earlier..it wasn't my fault :( Note that the way students like you are asked to solve this and similar problems is usually not the way people like me solve …
  2. Fibonacci numbers

    I have been working on this question all day and can not figure out what to do. The question says according to the Quadratic Formula, the solutions of x^2-x-1=0 I know the positive solution is the golden rule ratio and the negative …
  3. Math

    The least upper bound of a set of real numbers in (0,1) whose decimal expansions do not contain the digit 9 is k/9. What is the value of k?
  4. Math

    I need help trying to write out these binomial expansions: they all need to be raised to the 8th power. Thanks 1. (x + y) 2. (w + z) 3. (x - y) 4. (2a + 3b) - Now explain how your answer for #1 could be used as a formula to help you …
  5. maths

    Q.1. write the expansions: (3x+4y)^3
  6. precalculus

    Explain how the graph of f(x)=(-2)/(x-3)^2 can be obtained from the graph of y=1/x^2 by means of translations, compressions, expansions, or reflections.
  7. Pre-calculus

    Explain how the graph of f(x)=(-2)/(x-3)^2 can be obtained from the graph of y=1/x^2 by means of translations, compressions, expansions, or reflections.
  8. maths

    Find the expansions of (1-x)^6 and (1+2x)^6 as far as the terms in x^3. Hence expand (1+x-2x^2)^6 up to the terms in x^3.
  9. maths

    suresh scored 15 mareks more than ramesh in maths.if the sum of their marks in maths is 275.write the statement in linear equation in two variables
  10. maths

    write down the first four terms of the following expansion (1+x)^1/4 stating in each case, the values of x for which the expansions are valid

More Similar Questions