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`x^(5)y-xy^(5)` के गुणनखण्ड कीजिए | |
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Answer» `x^(5)y-xy^(5)=xy(x^(4)-y^(4))` `=xy[(x^(2))^(2)-(y^(2))^(2)]=xy(x^(2)+y^(2))(x^(2)-y^(2))` `=xy(x^(2)+y^(2))(x-y)(x+y) " " [ because x^(2)-y^(2)=(x-y)(x+y)]` `=xy(x-y)(x+y)(x^(2)+y^(2))` |
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