InterviewSolution
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InterviewSolution
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निम्न व्यंजकों के गुणनखण्ड ज्ञात कीजिए - `x^(12)-y^(12)` |
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Answer» यहाँ `x^(12)-y^(12)` `(x^(6))^(2)-(y^(6))^(2)=(x^(6)+y^(6))(x^(6)-y^(6))={(x^(2))^(3)+(y^(2))^(3)}{(x^(3))^(2)-(y^(3))^(2)}` `=(x^(2)+y^(2)){(x^(2))^(2)-x^(2)y^(2)+(y^(2))^(2)}{(x^(3)-y^(3))(x^(3)+y^(3))}` `= (x^(2)+y^(2))(x^(4)-x^(2)y^(2)+y^(4))(x-y)(x^(2)+xy+y^(2))(x+y)(x^(2)-xy+y^(2))` `=(x+y)(x-y)(x^(2)+y^(2))(x^(2)+xy+y^(2))(x^(2)-xy+y^(2))(x^(4)-x^(2)y^(2)+y^(4))` |
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