Question

Factorise: x^6+y^6
: (998)^3

Answer 1

Answer:

PLEASE SEE CAREFULLY THE ANS BELOW::

Step-by-step explanation:

x^6-y^6

=(x-y) (x^2 + xy+ y^2) ( x+y) ( x^2-xy+y^2)

TO SOLVE THIS WE NEED TO OBSERVE SOME ALGEBRAIC IDENTITIES:

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• SEE CAREFULLY AND ANALYZE

1. a^2-b^2=(a-b) (a+b)
2. a^3-b^3=(a-b) (a^2+ab+b^2)
3. a^3+b^3=(a+b) (a^2-ab+b^2)

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SO NOW,

x^6-y^6

=(x^3)^2 -(y^3) ^2

=(x^3-y^3) ( x^3+y^3)

= (x-y) ( x^2+xy+y^2) (x+y) (x^2-xy+y^2

SO WE OBSERVED--

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x^6-y^6

=(x-y) (x^2+xy+y^2) (x+y) (x^2-xy+y^2)

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REGARS @THANKS

BY-THE VIBHANSHU