Question and Answers Forum

All Questions      Topic List

Algebra Questions

Previous in All Question      Next in All Question      

Previous in Algebra      Next in Algebra      

Question Number 85418 by oustmuchiya@gmail.com last updated on 21/Mar/20

$$Findthetermindepentofxintheexpressionof{(2x-\frac{1}{2x})}^9$$

Commented by jagoll last updated on 22/Mar/20

$$\mathrm{let}2\mathrm{x}=\mathrm{u}$$$${(\mathrm{u}-\frac{1}{\mathrm{u}})}^3={\mathrm{u}}^3-3\left({\mathrm{u}}^2\right)\left(\frac{1}{\mathrm{u}}\right)+3\mathrm{u}\left(\frac{1}{{\mathrm{u}}^2}\right)-\left(\frac{1}{{\mathrm{u}}^3}\right)$$$$={\mathrm{u}}^3-3\mathrm{u}+\frac{3}{\mathrm{u}}-\frac{1}{{\mathrm{u}}^3}$$$$\mathrm{nothing}\mathrm{term}\mathrm{independent}\mathrm{of}\mathrm{x}$$$$\mathrm{similarly}\mathrm{to}{(\mathrm{u}-\frac{1}{\mathrm{u}})}^9$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com