How to solve this coefficient problem? coefficient of m³n² in expansion of (m+3n)^5

[maiestsi]

How to solve this coefficient problem? coefficient of m³n² in expansion of (m+3n)^5

My math teacher did not have time to go over problems like this in class-how would you approach it?

Problem:
What is the coefficient of m[FONT=q_serif]³n[/FONT]² in the expansion of (m+3n)⁵?

Thanks!!

 

[Dr.Peterson]

My math teacher did not have time to go over problems like this in class-how would you approach it?

Problem:
What is the coefficient of m[FONT=q_serif]³n[/FONT]² in the expansion of (m+3n)⁵?

What does the binomial formula tell you? Does your textbook have an example? If not, there is one about 2/3 of the way down this page.

The key is to decide which term this is, and write out that term by the formula.

Please show an attempt, so we can see how close you are to getting it. At least, state the formula as you learned it, so we can use the same format in discussing it with you.

 

[Steven G]

My math teacher did not have time to go over problems like this in class-how would you approach it?

Problem:
What is the coefficient of m[FONT=q_serif]³n[/FONT]² in the expansion of (m+3n)⁵?

Thanks!!

Hmm, maybe you might try to multiply m+3n by itself 5 times?