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
Artist 52 [7]
3 years ago
7

Expand the following using either the Binomial Theorem or Pascal’s Triangle. You must show your work for credit.. . (2x + 4)^3

Mathematics
2 answers:
Alik [6]3 years ago
7 0
A Pascal triangle is the triangular way of expanding a binomial. So the best way in expanding that function is thru Binomial Theorem and the expanded for of it is 8x^3+48x^2+98x+64
hjlf3 years ago
3 0

Before even trying to put this into the binomial form, we must figure out the coefficients. If we go by the Pascal's Triangles way we should end up with:

        1

    1      1

 1     2     1

1    3     3    1

Going by the last level (which is the third level) we get 3C0:1, 3C1:3, 3C2:3, 3C3:1.

Now with the equation: (a+b)^3 = 3C0a^3 + 3C1a^2 b + 3C2a b^2 + 3C3b^3 we just plug in all the values and simplify

(2x+4)^3 = 2x^3 + 3(2x)^2 (4) + 3(2x) (4)^2 + (4)^3

(2x+4)^3 = 8x^3 + (3)(4x^2)(4) + (3)(2x)(16) + 64

Then we finally end with: (2x+4)^3 = 8x^3 48x^2 + 96x +64



You might be interested in
PLEASE HELP
zubka84 [21]
If there are 1.5 times as many pairs of walking shoes as there are running shoes on display, then it is best to take each amount of running shoes and multiply it by 1.5, if doing that equals the amount of walking shoes, then it would be correct. Which in this case, would be D.
6 0
3 years ago
On the 405 freeway one can travel 65 miles per hour (mph), how many kilometers per hour (kph) is the car travelling
OverLord2011 [107]

Answer:

104.607kph

Step-by-step explanation:

Conversion from mph to kph = 1.609mph

3 0
2 years ago
Sorry if it blurry but if you can see it plz help
RoseWind [281]
Y=-3/4x+8 is the answer
8 0
3 years ago
In which number does the digit 5 have ten times the value of the digit 5 in 1,452
Salsk061 [2.6K]

Answer:

Tens place

Step-by-step explanation:

5 0
3 years ago
Factor 15x + 35 using the GCF.
stellarik [79]
The answer is A. 5(3x+7)
4 0
3 years ago
Other questions:
  • I NEED HELP PLEASE ! :)
    9·1 answer
  • The battery in camilles old phone can’t last for 4.2 hours .she bought a new phone that’s gas battery that can last 60% longer .
    5·1 answer
  • Air is being pumped into a spherical balloon so that its volume increases at a rate of 150 cm3/s. How fast is the radius of the
    5·1 answer
  • Which set of ordered pairs represents a function?
    9·1 answer
  • A development economist is studying income growth in a rural area of a developing country. The last census of the population of
    9·1 answer
  • Help me pls I need it now pls
    7·2 answers
  • Out of 36 people in a parade, 18 are wearing red, 15 are wearing blue, and 7 are wearing both red and blue. How many people were
    13·1 answer
  • Which of the following is equivalent to this expression?
    10·1 answer
  • What is the sum of 291 and 703
    5·1 answer
  • Harry decided to buy some candy bars that
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!