SOLUTION: Can you please help with this question please: Find the coefficient of x^-2 term in (1/x+2x)^4. Struggling to start. Thank you

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Can you please help with this question please: Find the coefficient of x^-2 term in (1/x+2x)^4. Struggling to start. Thank you      Log On


   



Question 1205939: Can you please help with this question please:
Find the coefficient of x^-2 term in (1/x+2x)^4.
Struggling to start. Thank you

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The expression is the product of 4 identical binomial factors in which the terms are 1/x and 2x. To get a term with x^-2 (= 1/x^2), you need to take the "1/x" term 3 times and the "2x" term once.

Using the standard form for finding a term in a binomial expansion, the (1/x^2) term is



ANSWER: The coefficient of the x^(-2) term is 8

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To the student....

I don't know how much work your tutor wants you to show. I don't know in this case how much more work you CAN show....