Question
Download Solution PDFa - b = 5 மற்றும் ab = 25 எனில், a3 - b3 ன் மதிப்பு:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFகொடுக்கப்பட்டது:
a - b = 5 மற்றும் ab = 25
பயன்படுத்தப்பட்ட சூத்திரம்:
a3 - b3 = (a - b)(a2 + ab + b2)
கணக்கீடு:
a - b = 5
ab = 25
(a - b)2 = a2 - 2ab + b2
⇒ 52 = a2 - 2x25 + b2
⇒ 25 = a2 - 50 + b2
⇒ a2 + b2 = 75
a3 - b3 = (a - b)(a2 + ab + b2)
⇒ a3 - b3 = 5(75 + 25)
⇒ a3 - b3 = 5x100
⇒ a3 - b3 = 500
∴ சரியான விடை விருப்பம் 4.
Last updated on Jun 3, 2025
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