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]
3 years ago
14

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

Mathematics
2 answers:
Sveta_85 [38]3 years ago
8 0
The answer is A............
____ [38]3 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
Solve the Quadratic equation by factoring.
kkurt [141]

Answer:

YOUR GETTING 400 POINTS

Step-by-step explanation:

6 0
2 years ago
41 to the nearest degree
Elden [556K]
The nearest degree would be 40
4 0
3 years ago
What is the answer of this question ?
fgiga [73]

Answer:

the answer is B

Step-by-step explanation:

hoped I helped:)

6 0
2 years ago
A drawer contains 6 white socks and 10 black socks. If 2 socks are chosen at random, what is the probability that they will have
SpyIntel [72]

|\Omega|=C(16,2)=\dfrac{16!}{2!14!}=\dfrac{15\cdot16}{2}=120\\|A|=C(6,2)+C(10,2)=\dfrac{6!}{2!4!}+\dfrac{10!}{2!8!}=\dfrac{5\cdot6}{2}+\dfrac{9\cdot10}{2}=15+45=60\\\\P(A)=\dfrac{60}{120}=\dfrac{1}{2}=50\%

3 0
3 years ago
Read 2 more answers
Solve for y. show work. 4(y+3)−2y+7
olga_2 [115]
Dude I don’t feel like working
5 0
3 years ago
Read 2 more answers
Other questions:
  • A transversal must intersect two or more _____ lines.
    7·2 answers
  • How do you solve this
    13·1 answer
  • What is 4x[5] [testing this out]
    15·2 answers
  • What is the correct definition for tan 0
    15·1 answer
  • If r = 3.2, what is the area of the shaded region? Round your answer to the nearest hundredth. Use your calculator's value of π.
    13·1 answer
  • Find three consecutive odd integers whose sum is 21
    8·1 answer
  • Solve the equation.<br><br> 5p^2-p+4
    9·1 answer
  • Pls help I’ll give u some of those brain things
    13·2 answers
  • NO WRONY ANSWERS PLEASE
    8·1 answer
  • Anais bought yards of ribbon. she had feet inches of ribbon left after trimming some curtains. how many inches of ribbon did ana
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!