Question

Q12. Factorise:a^6-b^6​

Answer 1

Answer:

Rewrite a6 as (a2)3 ( a 2 ) 3 . Rewrite b6 as (b2)3 ( b 2 ) 3 . Since both terms are perfect cubes, factor using the sum of cubes formula, a3+b3=(a+b)(a2−ab+b2) a 3 + b 3 = ( a + b ) ( a 2 - a b + b 2 ) where a=a2 a = a 2 and b=b2 b = b 2 .