Xmxlml X.

asked • 03/27/17

What is the coefficient of x2y3 in the expansion of (2x + y)5

need help asap please and thank you

2 Answers By Expert Tutors

By:

Paul F. answered • 08/08/17

Tutor
4.9 (259)

Highly Experienced Physics, SAT Math and Calculus Tutor

See tutors like this
See tutors like this
Sure there is.
(2x+y)5  = C (5,0) (2x)5 y0  +  C (5,1) (2x)4 y1  +  C (5,2) (2x)3 y2 + C (5,3) (2x)2 y3 + ........ C (5,5) (2x)0 y5
 
The 4th term variables are  x2 y3   and the coefficient = 4 [ C(5,3) ]  =  40
 
Upvote • 0 Downvote
More
Report

Karen L.

Thank you, Paul! I misinterpreted that (2x + y)5 to be 5 times (2x + y) instead of as an exponent. Great explanation!
Report

08/08/17

Ozioma L.

Sir please 🙏 how did you get d final answer as 40 cos I got mine as 32
Report

09/11/22

Paul F.

Coefficient of x^2y^3 is 2^2 C[5,3] = 4 ( 5! / 3! 2! ) = 4 ( 5 4 3 2 1 / 3 2 2 ) = 40
Report

09/11/22

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.