Question

factorise
${ \frac{ {x}^{6} }{343} } + \frac{343}{ {x}^{6} }$

Answer 1

Hi ,

x^6/343 + 343/x^6

= ( x² )³/7³ + 7³/( x² )³

= ( x²/7 )³ + ( 7/x² )³

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We know the algebraic identity,

x³ + y³ = ( x + y ) [ x² - xy + y² ]

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= (x²/7 + 7/x²)[(x²/7)²-(x²/7)(7/x²)+(7/x²)²]

= (x²/7+7/x²)[ x⁴/49- 1 + 49/x⁴ ]

I hope this helps you.

: )

Answer 2

hope it's helps

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