Question

factorise X raise to the power 6 minus Y raise to the power 6

Answer 1

Hi ,

x^6 - y^6

= ( x³ )² - ( y³ )²

= ( x³ + y³ ) ( x³ - y³ )

= ( x + y )( x² - xy + y² )( x - y )( x² + xy + y² )

I hope this helps you.

: )

Answer 2

Hello friends!!

${x}^{6} - {y}^{6}$


Using identity : a² - b² = ( a + b) ( a - b)


${( {x}^{3}) }^{2} - {( {y}^{3}) }^{2}$


$( {x}^{3} - {y}^{3} )( {x}^{3} + {y}^{3} )$


Using identity :

a³ + b³ = ( a + b ) ( a² + b² - ab)


a³ - b³ = ( a - b) ( a² + b² + ab)


$(x - y)( {x}^{2} + {y}^{2} - xy)(x + y)( {x}^{2} + {y}^{2} + xy)$




Hope it helps you...