Question
Download Solution PDFयदि x + y + 3 = 0, तब x3 + y3 - 9xy + 9 का मान ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
x + y + 3 = 0
प्रयुक्त सूत्र:
(a + b)3 = a3 + b3 + 3ab (a + b)
गणना:
x + y + 3 = 0
⇒ x + y = - 3 .....(1)
⇒ (x + y)3 = (- 3)3 [दोनों पक्षों का घन करने पर]
⇒ x3 + y3 + 3xy (x + y) = - 27
⇒ x3 + y3 + 3xy × (- 3) = - 27 [∵ x + y = - 3]
⇒ x3 + y3 - 9xy = - 27
⇒ x3 + y3 - 9xy + 9 = - 27 + 9 [दोनों पक्षों में 9 जोड़ने पर]
⇒ x3 + y3 - 9xy + 9 = - 18
∴ x3 + y3 - 9xy + 9 का मान (- 18) है।
Last updated on Jul 14, 2025
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