Question
Download Solution PDFx4 + x2 + 25 के गुणनखंड क्या हैं?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFप्रयुक्त सूत्र:
(a + b)2 = a2 + b2 + 2ab
(a + b)(a - b) = a2 - b2
गणना:
x4 + x2 + 25
व्यंजन को इस प्रकार लिखा जा सकता है: (x2)2 + 2 × x2 × 5 + (5)2 - (3x)2
⇒ x4 + 10x2 + 25 - 9x2
⇒ (x2 + 5)2 - (3x)2
⇒ (x2 + 5 + 3x)(x2 + 5 - 3x)
∴ x4 + x2 + 25 के गुणनखंड (x2 + 3x + 5) (x2 - 3x + 5) हैं।
Last updated on Jun 25, 2025
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