Ask Question
MathematicsMathematics
25 April, 07:14

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

A) (2x) ^ 5 - 15 (2x) ^ 4 + 90 (2x) ^ 3 - 270 (2x) ^ 2 + 405 (2x) - 243

B) (2x) ^ 5 + 15 (2x) ^ 4 - 90 (2x) ^ 3 + 270 (2x) ^ 2 - 405 (2x) + 243

C) (2x) ^ 5 + 15 (2x) ^ 4 + 90 (2x) ^ 3 + 270 (2x) ^ 2 + 405 (2x) + 243

D) 2 (x) ^ 5 - 30 (x) ^ 4 + 180 (x) ^ 3 - 540 (2x) ^ 2 + 810 (x) - 243

+5
Answers (2)
  1. 25 April, 09:35
    0
    the answer is C
  2. 25 April, 10:03
    0
    C

    Step-by-step explanation:

    (2x + 3) ^5 = C (5,0) 2x^5*3^0 +

    C (5,1) 2x^4*3^1 + C (5,2) 2x^3*3^2 + C (5,3) 2x^2*3^3 + C (5,4) 2x^1*3^4 + C (5,5) 2x^0*3^5

    Recall that

    C (n, r) = n! / (n-r) ! r!

    C (5,0) = 1

    C (5,1) = 5

    C (5,2) = 10

    C (5,3) = 10

    C (5,4) = 5

    C (5,5) = 1

    = 1 (2x^5) 1 + 5 (2x^4) 3 + 10 (2x^3) 3^2 + 10 (2x^2) 3^3 + 5 (2x^1) 3^4 + 1 (2x^0) 3^5

    = 2x^5 + 15 (2x^4) + 90 (2x^3) + 270 (2x^2) + 405 (2x) + 243

    = 32x^5 + 15 (16x^4) + 90 (8x^3) + 270 (4x^2) + 810x + 243

    = 32x^5 + 240x^4 + 720x^3 + 1080x^2 + 810x + 243
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “What is the binomial expansion of (2x - 3) ^5? A) (2x) ^ 5 - 15 (2x) ^ 4 + 90 (2x) ^ 3 - 270 (2x) ^ 2 + 405 (2x) - 243 B) (2x) ^ 5 + 15 ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers
You Might be Interested in
John Cell bookbags. He sells a leather bag for $69.80 and the sales tax is 6% of the sale price about how much is a sales tax on the book bag?
Answers (1)
Of the 400 doctors who attended a conference, 240 practiced family medicine and 130 were from countries outside the united states ... one-third of the family medics practitioners were not from the united states.
Answers (1)
Write the number in standard form. 1.66*10^9
Answers (1)
The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 6 and 9. What is the length of the altitude? A. 2004-04-01-01-00 B. 2004-04-01-01-00 C. 2004-04-01-01-00 D. 2004-04-01-01-00
Answers (1)
When an object loses its original shape and size
Answers (2)
New Questions in Mathematics
Ella runs a cat rescue center. She started with 2 cats, and her center has an increase of 5 cats per year.
Answers (1)
Round 2874992 to nearest 10000
Answers (1)
Decide whether a discrete or continuous random variable is the best model for each of the following variables: (a) The time until a projectile returns to earth. (b) The number of times a transistor in a computer memory changes state in one operation.
Answers (1)
The rquation of a citcle is x^2+y^2=16 what is the radius of the circle
Answers (1)
BETH and Carley are selling candy bars to raise money for new cheer outfits. Beth has sold one less than twice the number of candy bars carely has sold. If they have 188 candy bars in all how many has Beth sold?
Answers (1)
Home » Mathematics » What is the binomial expansion of (2x - 3) ^5? A) (2x) ^ 5 - 15 (2x) ^ 4 + 90 (2x) ^ 3 - 270 (2x) ^ 2 + 405 (2x) - 243 B) (2x) ^ 5 + 15 (2x) ^ 4 - 90 (2x) ^ 3 + 270 (2x) ^ 2 - 405 (2x) + 243 C) (2x) ^ 5 + 15 (2x) ^ 4 + 90 (2x) ^ 3 + 270 (2x) ^ 2 +
Sign Up Forgot Password?