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

#Algebra #LargeNumbers

Easy Math Editor

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Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

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

Sudeep Salgia - 5 years, 9 months ago

Try this

Satvik Choudhary - 5 years, 9 months ago

You can do it by Sophie Germain Identity!!

Akshat Sharda - 5 years, 8 months ago

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

Harshi Singh - 5 years, 8 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 ?????

Akshat Sharda - 5 years, 8 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$