1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ksenya-84 [330]
3 years ago
13

Expand the binomial (4x + 3y)3. The coefficient of the second term in the expansion of the binomial (4x + 3y)3

Mathematics
2 answers:
Anettt [7]3 years ago
4 0
The answer is, 12x +9y
jonny [76]3 years ago
3 0

Answer:

The coefficient is 144.

Step-by-step explanation:

We have the binomial: (4x+3y)^3

The general formula for cubic binomials is:

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

<em>Observation: (a+b)^3=(a+b)(a+b)(a+b) if you solve that the result is the general formula. The same for  (a-b)^3=(a-b)(a-b)(a-b) </em>

Then we have:

(4x+3y)^3=(4x)^3+3(4x)^2.(3y)+3(4x).(3y)^2+(3y)^3\\\\=64x^3+3.16x^2.3y+3.4x.9y^2+27y^3\\\\=64x^3+144x^2y+108xy^2+27y^3

The coefficient is the number before the variable, then the coefficient of the second term in the expansion of the binomial (4x+3y)^3 is 144.

You might be interested in
Find the domain and range of the function
SVEN [57.7K]

Answer:

domain: (-∞ , ∞)

range: (-∞, 2]

Step-by-step explanation:

the domain is the set of values of what the x value can be. This function is parabolic and upside down, it can have a range of x values from - infinity to positive infinity. The function is most likely y=-x^2 +2

range is the output (y values) the function can possibly have. the max is 2 and includes 2 so we use bracket for that. The smallest y value can reach towards negative infinity.

Please give thanks by clicking the heart button! :)

3 0
3 years ago
Read 2 more answers
The length of one leg of a right triangle is 24ft and the length of the hypotenuse is 40ft what is the length of the other leg
lukranit [14]
Use formula a squared equals to c squared minus b squared

40^2-24^2 is 1024

Square root of 1024 is 32.0
8 0
3 years ago
Read 2 more answers
Divisibility Rules, use your divisibility rules to explain if the number is divisible or not.
morpeh [17]
Yes, the answer is 62.
5 0
3 years ago
Which value of x makes the equation 3(x-6) = 8x-3(3x+7) true?
nataly862011 [7]

Answer:

Step-by-step explanation:

3x - 18  = 8x - 9x - 21

3x - 18 = -x - 21

4x - 18 = -21

4x = -3

x = -3/4

answer is A

6 0
3 years ago
Read 2 more answers
What is the circumference of the circle? Use 3.14 for π and 5 as the radius. Round to the nearest tenth if necessary. *
Bas_tet [7]

Answer:

25

Step-by-step explanation:

Jz

5 0
3 years ago
Other questions:
  • Nate invests $1,000 into an account with a 5.2% interest that is compounded annually. How much money will he have in this accoun
    5·2 answers
  • B. Paul displays his sports trophies on shelves in his room. He has 5 trophies on each of 3 shelves and 2 trophies on another sh
    7·2 answers
  • Determine the zero of F(x)=x^2+3x-5
    9·1 answer
  • Can someone help me with my homework it was due last week
    5·1 answer
  • Which point is the y-intercept of the graph of 5x - 3y = 15 ?
    7·1 answer
  • What is 3 made into a fraction
    12·2 answers
  • DeRay bought 2 1/4 ` pounds of raisins and divided them into snack packs with `1/8 pound in each snack pack. How many snacks pac
    14·1 answer
  • Solve for t. t + -24 = -29 -8 <br>what is t value? ​
    12·2 answers
  • The questions and answers are in the picture. Will give brainliest!
    13·2 answers
  • Please Help! 10 extra points if the answer is correct.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!