# So large

Hey can anyone tell me how to solve these types of questions, $$\frac {(8^4 + 64) ( 16^4 + 64)(24^4+64)(32^4+64)(40^4+64)(48^4 + 64)(56^4+64)(64^4+64) } { (4^4+64)(12^4+64)(20^4+64)(28^4+64)(36^4+64)(44^4+64)(52^4+64)(60^4+64) }.$$ thank you

Note by Harshi Singh
2 years, 10 months ago

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Try proving and using $$a^4 + 4b^4 = (a^2 - 2ab + 2b^2)(a^2 + 2ab + 2b^2)$$.

- 2 years, 10 months ago

You can do it by Sophie Germain Identity!!

- 2 years, 9 months ago

oh thank you... have you given rmo online exam ?

- 2 years, 9 months ago

Actually I wanted to give it but i wasn't able to download the paper on mobile :-( I'll try it later.....by the way why are you asking me about it ?????

- 2 years, 9 months ago

Comment deleted Oct 06, 2015

Ita from a problem by calvin sir if i remember it right.

- 2 years, 10 months ago