Algebra 2 (Geometric Series)

posted by .

Write (2x+3y)^3 in expanded form



I need a little help as far as how I would begin working this problem out.

  • Algebra 2 (Geometric Series) -

    im not positively sure bc its been awhile but i think everything in the parenthesis will be raised to the 3:

    2^3x^3 + 3^3y^3 giving you

    8x^3 + 27y^3

  • Algebra 2 - Update -

    To expand this you need to recall Pascal's Triangle, and use it to expand

    (a+b)^3 = a^3 + 3a^2b + 3ab^2 + b^3

    You have a=2x and b=3y, so you end up with

    (2x)^3 + 3(2x)^2(3y) + 3(2x)(3y)^2 + (3y)^3
    = 8x^3 + 24x^2y + 54xy^2 + 27y^3

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math(need 2nd opinion)

    1)Find a1 in a geometric series for which Sn=300,r=-3,and n=4 A)15 B)15/2 C)-15 D)1/15 I chose A 2)Find the sum of the infinite geometric series. Sigma sign with infinity symbol above and n=1 below. To the right 20(-1/4)n-1 A)25 B)80/3 …
  2. Algebra 2 - Geometric Series

    I need help evaluating the geometric infinite series. It's got the double zero thing over the E thing. 00 E(-1/2)^ n-1 (n=1)
  3. pre algebra

    I have a problem and I would like to know how to work out the problem to get the answer. Write an algebraic expression for each phrase product of m and n -2 What are the steps in working this out?
  4. Calculus

    Consider the infinite series of the form: (+/-)3(+/-)1(+/-)(1/3)(+/-)(1/9)(+/-)(1/27)(+/-)...(+/-)(1/3^n)(+/-)... (A) Find x and y from: x(</=)(+/-)3(+/-)1(+/-)(1/3)(+/-)...(</=)y. (B) Can you choose the signs to make the series …
  5. calculus

    Consider the infinite series of the form: (+/-)3(+/-)1(+/-)(1/3)(+/-)(1/9)(+/-)(1/27)(+/-)...(+/-)(1/3^n)(+/-)... (A) Find x and y from: x(</=)(+/-)3(+/-)1(+/-)(1/3)(+/-)...(</=)y. (B) Can you choose the signs to make the series …
  6. calculus

    Consider the infinite series of the form: (+/-)3(+/-)1(+/-)(1/3)(+/-)(1/9)(+/-)(1/27)(+/-)...(+/-)(1/3^n)(+/-)... (A) Find x and y from: x(</=)(+/-)3(+/-)1(+/-)(1/3)(+/-)...(</=)y. (B) Can you choose the signs to make the series …
  7. Calc

    We are working on finding the intervals of convergence of power series in class. Why do we not have to test for the convergence of the endpoints for geometric series?
  8. Geometric Series (Algebra 2)

    I need some assistance or a formula when trying to find the first term of geometric series please! I don't understand this!!!! What is the first term of a geometric series with a summation of 289, 5 terms and a common ratio of 1/2?
  9. Algebra 2

    I need steps on how to complete this please i am so confused and lost. :( Consider the infinite geometric series x e n=1 -4(1/3) n-1. In this image, the lower limit of the summation notation is "n=1". a. Write the first four terms …
  10. Algebra word problem

    It takes john 12 hours to plow a field. After he had been working for 3 hours, his brother Mike came to help. Together they finished the job in 5 hours. How long would it take mike to plow the field working alone?

More Similar Questions