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Question Number 45512 by Tawa1 last updated on 13/Oct/18

$$\mathrm{Calculate}:\frac{(2^4+\frac{1}{4})(4^4+\frac{1}{4})(6^4+\frac{1}{4})(8^4+\frac{1}{4})({10}^4+\frac{1}{4})({12}^4+\frac{1}{4})}{(1^4+\frac{1}{4})(3^4+\frac{1}{4})(5^4+\frac{1}{4})(7^4+\frac{1}{4})(9^4+\frac{1}{4})({11}^4+\frac{1}{4})}$$

Commented by tanmay.chaudhury50@gmail.com last updated on 14/Oct/18

$$excellent...sir...$$

Commented by Meritguide1234 last updated on 14/Oct/18

Commented by Tawa1 last updated on 14/Oct/18

$$\mathrm{God}\mathrm{bless}\mathrm{you}\mathrm{sir}$$

Commented by Tawa1 last updated on 14/Oct/18

$$\mathrm{God}\mathrm{bless}\mathrm{you}\mathrm{sir}$$

Commented by Tawa1 last updated on 14/Oct/18

$$\mathrm{Sir},\mathrm{why}\mathrm{do}\mathrm{we}\mathrm{take}\mathrm{answer}\mathrm{for}\frac{{12}^4+\frac{1}{4}}{{11}^4+\frac{1}{4}}=313\mathrm{as}\mathrm{the}\mathrm{final}\mathrm{answer}.$$

Commented by Meritguide1234 last updated on 14/Oct/18

$$thankyou...sir$$

Commented by Meritguide1234 last updated on 14/Oct/18

$$seeimultiplyallthetermbytelescopicseries$$

Commented by Tawa1 last updated on 14/Oct/18

$$\mathrm{Please}\mathrm{sir},\mathrm{show}\mathrm{example}\mathrm{of}\mathrm{how}\mathrm{you}\mathrm{multiply}.\mathrm{Sorry}\mathrm{to}\mathrm{be}\mathrm{bothering}$$$$\mathrm{you}\mathrm{sir},\mathrm{i}\mathrm{just}\mathrm{want}\mathrm{to}\mathrm{understand}\mathrm{how}\mathrm{you}\mathrm{multiply}\mathrm{sir}$$

Commented by tanmay.chaudhury50@gmail.com last updated on 14/Oct/18

$$\frac{2^4+\frac{1}{4}}{1^4+\frac{1}{4}}=\frac{(2^2+2+\frac{1}{2})(2^2-2+\frac{1}{2})}{(1^2+1+\frac{1}{2})(1^2-1+\frac{1}{2})}$$$$nowseetheredmarkedexpressionbothare$$$$samevalue\left(\frac{5}{2}\right)sotheycancelled..$$$$\frac{4^4+\frac{1}{4}}{3^4+\frac{1}{4}}=\frac{(4^2+4+\frac{1}{2})(4^2-4+\frac{1}{2})}{(3^2+3+\frac{1}{2})(3^2-3+\frac{1}{2})}$$$$againseeredmarkedexpfessioncancelled$$$$\left(\frac{25}{2}\right)$$$$thusresulobtained...$$

Commented by Tawa1 last updated on 14/Oct/18

$$\mathrm{Wow},\mathrm{i}\mathrm{understand}\mathrm{now}\mathrm{sir}.$$

Commented by Tawa1 last updated on 14/Oct/18

$$\mathrm{God}\mathrm{bless}\mathrm{you}\mathrm{sir}$$

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