The coefficient of x 3 in the expansion of (2 + x)(3 ax) 4 is 30.
Question:
The coefficient of x3 in the expansion of (2 + x)(3 − ax)4 is 30. Find two possible values of the constant a.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (2 reviews)
To find the coefficient of x3 in the expansion of 2 x3 ax4 we can use the binomial expansion formula ...View the full answer
Answered By
Aketch Cindy Sunday
I am a certified tutor with over two years of experience tutoring . I have a passion for helping students learn and grow, and I firmly believe that every student has the potential to be successful. I have a wide range of experience working with students of all ages and abilities, and I am confident that I can help students succeed in school.
I have experience working with students who have a wide range of abilities. I have also worked with gifted and talented students, and I am familiar with a variety of enrichment and acceleration strategies.
I am a patient and supportive tutor who is dedicated to helping my students reach their full potential. Thank you for your time and consideration.
0.00
0 Reviews
10+ Question Solved
Related Book For
Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
Question Posted:
Students also viewed these Mathematics questions
-
The 16th row of Pascals triangle is shown below. a. Find the next two values in the row. b. Hence find the coefficient of x3 in the expansion of (1 + 2x) 15 . 1 15 105
-
Find the coefficient of x3 in the expansion of: a. (4 + x) 4 b. (1 x) 5 c. (3 + 2x) 3 d. (4 + 2x) 5 e. (2 + x) 6 f. (4 1/2 x) 4 g. (x + 2) 5 h. (3 2x) 4
-
The coefficient of x 2 in the expansion of (2 + ax) 6 is 60. Find two possible values of the constant a.
-
Identify possible opportunities for denormalizing these relations as part of the physical design of the database. Which ones would you be most likely to implement
-
FedEx is the worlds leading express-distribution company. In addition to the worlds largest fleet of all-cargo aircraft, the company has more than 688 aircraft and 50,000 vehicles and trailers that...
-
Linda and Don are married and file a joint return. In 2017, they received $12,000 in Social Security benefits and $35,000 in taxable pension benefits and interest. a. Compute the couples adjusted...
-
On February 11, 2009, plaintiff Levista, Inc. (plaintiff) filed against defendant Ranbaxy Pharmaceuticals, Inc. (defendant), pursuant to this Courts diversity jurisdiction under 28 U.S.C. 1332(a),...
-
Atlanta Company is preparing its manufacturing overhead budget for 2012. Relevant data consist of the following. Units to be produced (by quarters): 10,000, 12,000, 14,000, 16,000. Direct labor: Time...
-
Lindal Corporation, organized in 2023, immediately filed an election for S corporation status under the rules of Subchapter S. What is the maximum amount of passive investment income that Lindal will...
-
When (1 3/2x) p is expanded in ascending powers of x, the coefficient of x is 24. a. Find the value of p. b. Find the coefficient of x 2 in the expansion. c. Find the coefficient of x 3 in the...
-
Use the binomial theorem to find the first four terms in the expansion of: a. (2x + y) 6 b. (2x + 3y) 5 c. (p q) 8 d. (3x y) 6 e. (x + 2y) 8 f. (2x 3y) 9
-
Get the total number of part P1 supplied by supplier S1
-
What accounting principle guides the recognition of contributions and grants in financial statements? Explain.
-
What mechanisms can be implemented to enhance the level of accountability within complex organizational structures?
-
Who may certify financial filings for the SEC? Explain.
-
Bill's Bikes expects to sell $50,000 worth of bikes this month. He sells them for $500 each and buys them for $30,000 from his supplier. His fixed costs are $10,000 per month. What is his margin of...
-
Identify and describe two different research problems that are of concern to you state the variables of the study for each of the problem describe propose one corresponding research topic for each of...
-
Why is it advantageous that polysaccharides can have branched chains? How do they achieve this structural feature?
-
On the basis of the details of the following fixed asset account, indicate the items to be reported on the statement of cashflows: ACCOUNT Land ACCOUNT NO. Balance Date Item Debit Credit Debit Credit...
-
Show that the sample mean is relatively more efficient than the sample median when estimating the population mean.
-
Is the sample median a consistent estimator of the population mean? Explain.
-
Repeat Exercise 9.64 assuming that the means are 140 and 138, respectively. In exercise 9.64 Suppose that we have two normal populations with the means and standard deviations listed here. If random...
-
Problem 3 (20/100): Air is decompressed and heated from its initial state of 5 C and 10 bar to a final state of 60 C and 1 bar. The molar volume in the initial state is 2.31210-3 m/mol. During the...
-
A molecule that contains oxygen (O) can have different structures depending on both thermodynamics and kinetic conditions. The following figure, which is from a research paper, contains the pair...
-
Q2. Ethylene oxide is an important chemical mostly produced as an intermediate in the production of other chemicals. It does have some specialist uses as a disinfectant when heating is not an option....
Study smarter with the SolutionInn App