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
slamgirl [31]
4 years ago
14

What is the binomial expansion of (2x – 3)5?

Mathematics
2 answers:
Sveta_85 [38]4 years ago
8 0
The answer is A............
____ [38]4 years ago
4 0

<u>Answer-</u>

The binomial expansion of the given function is,

\Rightarrow (2x-3)^5=(2x)^5-15(2x)^{4}+90(2x)^{3}-270(2x)^{2}+405(2x)-243

<u>Solution-</u>

The general form of Binomial Expansion is,

(x+y)^n=\binom{n}{0}x^ny^0+\binom{n}{1}x^{n-1}y^1+\binom{n}{2}x^{n-2}y^2+......+\binom{n}{n}x^0y^n

Putting x = 2x, y = -3, and n = 5

(2x+(-3))^5=\binom{5}{0}(2x)^5(-3)^0+\binom{5}{1}(2x)^{5-1}(-3)^1+\binom{5}{2}(2x)^{5-2}(-3)^2+\binom{5}{3}(2x)^{5-3}(-3)^3+\binom{5}{4}(2x)^{5-4}(-3)^4+\binom{5}{5}(2x)^{5-5}(-3)^5

\Rightarrow (2x-3)^5=1.(2x)^5.1\ \ +\ \ 5.(2x)^{4}.(-3)\ \ +\ \ 10.(2x)^{3}.(9)\ \ +\ \ 10.(2x)^{2}.(-27)\ \ +\ \ 5.(2x)^{1}.(81)\ \ +\ \ 1.(2x)^{0}.(-243)

\Rightarrow (2x-3)^5=(2x)^5-15(2x)^{4}+90(2x)^{3}-270(2x)^{2}+405(2x)-243


You might be interested in
List the sides of △ABC in order from longest to shortest if the angles of △ABC have the following measures: m∠W = 4x - 1, m∠X =
Leto [7]

Answer:

w=4x

Step-by-step explanation:

5 0
3 years ago
What is f(3)?<br><br> –9<br> –1<br> 1<br> 9
V125BC [204]
Think about this, f(x) -> f(3). Look at the chart, x is 3. What number is directly to the right of 3. Your answer is 9.
7 0
3 years ago
Read 2 more answers
Giving 30 points to the right person
Oksana_A [137]

Answer:

426 m^2

Step-by-step explanation:

5 0
3 years ago
Which formula finds the probability that a point on the grid below will be in the blue area? A grid contains 20 squares. 10 squa
Natali5045456 [20]

The formula that finds the probability that a point on the grid below will be in the blue area is represented by the option:

P (blue) = StartFraction number of blue squares over the total number of squares EndFraction.

The probability = 1/2.

The probability of an event defines the chance of the occurrence of that event. It is given by the ratio of the total number of outcomes favorable to the event to the total number of outcomes in the experiment.

If we suppose an event to be A, the total number of possible outcomes favorable to A be n, and the total number of outcomes in the experiment be S, then the probability of event A can be given as:

P(A) = n/S.

In the question, we are asked to find the formula that defines the probability that a point on the grid will be in the blue area, where the grid contains 20 squares, 10 of them being shaded blue.

We take the event that the chosen point is in the blue area as A.

The total number of outcomes favorable to this event A can be given by n, which will be equal to the number of blue squares = 10

The total number of outcomes in the experiment can be given by S, which will be equal to the number of squares = 20.

Now, the formula for the probability of event A can be written as

P(A) = n/S = 10/20 = 1/2.

The formula that finds the probability that a point on the grid below will be in the blue area is represented by the option:

P (blue) = StartFraction number of blue squares over the total number of squares EndFraction.

Learn more about the Probability of an event at

brainly.com/question/7965468

#SPJ10

4 0
2 years ago
For the function f(x) = -(x + 1)2 + 4, identify the vertex, domain, and range.
Studentka2010 [4]

f ( x ) = - ( x + 1)^2 + 4

_____________________

Vertex = ( - 1 , 4 )

♡♡♡♡♡♡♡♡♡♡♡♡

Domain = R

♡♡♡♡♡♡♡♡♡♡♡♡

Range = ( - infinite , 4 ]

3 0
3 years ago
Other questions:
  • Y varies directly affects if y equals negative five when x equals 15 find X when y equals three
    6·1 answer
  • Graham puts $20 in his piggy bank every week. At the end of 39 weeks, he adds $100 to the piggy bank money and decides to do the
    7·2 answers
  • If 20% of 40% of a number is 10 greater than half the number what is the number
    10·2 answers
  • It is 4km from Martina house to the nearest mailbox. how far is it in meters?
    5·1 answer
  • A lamp pole with a height of 10 ft casts a shadow of 3 ft. What is the height of a building that casts a shadow of 15 ft at the
    8·1 answer
  • I need more help please!!! Will give brainliest! I only need b c and d done please!
    6·2 answers
  • A composite figure is divided into two congruent trapezoids, each with a height of 4 cm.
    11·2 answers
  • A company manufactures and sells video games. A survey of video game stores indicated that at a price of $73 each, the demand
    14·1 answer
  • If side BC is labeled 15 cm, and NL is labeled (x + 8), what is the value of x?
    6·2 answers
  • Which two ratios represent quantities that are proportional?​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!