factorise x^6 - y^6 by using a suitable identity.
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Answer:
(x+y) (x^2-xy+y^3) (x-y) (x^2+xy+y^3)
Step-by-step explanation:
x^6 - y^6
(x^3)^2 - (y^3)^2
Using identity a^2 - b^2 = (a+b) (a-b),
(x^3+y^3)(x^3-y^3)
Using identity a^3+b^3 = (a+b) (a^2-ab+b^2) and
a^3-b^3 = (a-b) (a^2+ab+b^2)
(x+y) (x^2-xy+y^3) (x-y) (x^2+xy+y^3)
I hope this helps...
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