1.

Factorise a^×9 - b^×9​

Answer»

Answer:

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

Step-by-step explanation:

GIVEN, a^9 - b^9

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

[USING a^3-b^3=(a-b)(a^2+ab+b^2)]

Therefore, (a^3)^3 - (b^3)^3

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


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