Question

Find the 5th term from the end in the expansion of (x-1/x)^12

Answer 1

So 5th term from end in the expansion of $(x-\frac{1}{x})^{12}$ will be $495x^4$

Step-by-step explanation:

We have given $(x-\frac{1}{x})^{12}$

There will be 13 terms in the expansion of  $(x-\frac{1}{x})^{12}$

5th term from the end will be 8th term from the beginning

From binomial expansion 8th term will be

$^{12}C_8x^8(\frac{1}{x})^{12-8}=495x^8\times (\frac{1}{x})^4=495x^4$

So 5th term from end in the expansion of $(x-\frac{1}{x})^{12}$ will be $495x^4$

Learn more

Find the term in the expansion of (2x-5)^6 which have 1.greatest binomial coefficient, 2.greatest numerical coefficient, 3. Algebraically greatest coefficient & 4. Algebraically least coefficient.​

https://brainly.in/question/12851114