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निम्न व्यंजकों के गुणनखण्ड ज्ञात कीजिए - `p^(6)-512q^(6)` |
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Answer» यहाँ `p^(6)-512q^(6)=(p^(2))^(3)-(8q^(2))^(3) " " [because a^(3)-b^(3)=(a-b)(a^(2)+ab+b^(2))]` `= (p^(2)-8q^(2))[(p^(2))^(2)+p^(2)xx8q^(2)+(8q^(2))^(2)]` `=(p^(2)-8q^(2))[p^(4)+8p^(2)q^(2)+64q^(4)]` |
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