Question

a^12-b^12 factorize please its important

Answer 1

★ ( a )^12 - ( b)^12

= ( a^6 )^2 -( b^6) ^2

= ( a^6 - b^6) ( a^6 + b ^6 )

= { ( a^3 )^2 - ( b^3 )^2 } ( a^6 + b^6 )

= ( a^3 - b^3 ) ( a^3 + b^3 ) ( a^6 + b^6 )

= ( a - b) (a^2 + ab + b^2 ) ( a+b )
( a^2 - ab + b^2 ) ( a^6 + b^6 )

= ( a - b)(a + b ) ( a^2 + ab + b^2 ) ( a^2 - ab + b^2 ) ( a^6 + b^6 )