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

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

e x c e l l e n t \dots s i r \dots

Commented by Meritguide1234 last updated on 14/Oct/18

Commented by Tawa1 last updated on 14/Oct/18

God bless you sir

Commented by Tawa1 last updated on 14/Oct/18

God bless you sir

Commented by Tawa1 last updated on 14/Oct/18

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

Commented by Meritguide1234 last updated on 14/Oct/18

t h a n k y o u \dots s i r

Commented by Meritguide1234 last updated on 14/Oct/18

s e e i m u l t i p l y a l l t h e t e r m b y t e l e s c o p i c s e r i e s

Commented by Tawa1 last updated on 14/Oct/18

Please sir, show example of how you multiply . Sorry to be bothering

you sir, i just want to understand how you multiply 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})}

n o w s e e t h e r e d m a r k e d e x p r e s s i o n b o t h a r e

s a m e v a l u e (\frac{5}{2}) s o t h e y c a n c e l l e d . .

\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})}

a g a i n s e e r e d m a r k e d e x p f e s s i o n c a n c e l l e d

(\frac{25}{2})

t h u s r e s u l o b t a i n e d \dots

Commented by Tawa1 last updated on 14/Oct/18

Wow, i understand now sir .

Commented by Tawa1 last updated on 14/Oct/18

God bless you sir

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