Question

factorise : a^6 + b^6

Answer 1

Here a^6 and b^6 can be written as (a^2)^3 and (b^2)^3 thus we can apply the identity a^3+b^3= (a+b).(a^2 -ab +b^2)
Thus,
(a^2)^3 + (b^2)^3 = (a^2+b^2).(a^4 +a^2b^2 + b^2).
Remember here we took a^2 as the a in the identity.
Hope you could understand this :-)

Answer 2

$( {x}^{2} ) ^{3} + ( {y}^{2}) ^{3} \\ ( {x}^{2} + {y}^{2} )(( {x}^{2}) {}^{2} - {x}^{2} {y}^{2} + ( {y}^{2} ) {}^{2} ) \\ ( {x}^{2} + {y}^{2} )( {x}^{4} - ({x}^{2} {y}^{2} + {y}^{4} )$
I hope it will be useful for you to understand

if yes means please mark it as brainliest answer

thank you!!!