1
Question
Factories:
1. a9-b9
2. x3-3x2+3x+7
Factories:
1. a9-b9
2. x3-3x2+3x+7
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Solution
(1)
a^9−b^9=(a^3)^3−(b^3)^3=(a^3−b^3)(a^6+a^3b^3+b^6) ie; (Since x^3−y^3=(x−y)(x^2+xy+y^2))
=(a−b) (a^2+ab+b^2) (a^6+a^3b^3+b^6)
a^9−b^9=(a^3)^3−(b^3)^3=(a^3−b^3)(a^6+a^3b^3+b^6) ie; (Since x^3−y^3=(x−y)(x^2+xy+y^2))
=(a−b) (a^2+ab+b^2) (a^6+a^3b^3+b^6)
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