Question
Download Solution PDF(8x3 + 80x2 + 200x) மற்றும் (4x4 + 16x3 - 20x2) இன் மீ.சி.ம என்ன?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFகொடுக்கப்பட்ட சமன்பாடு:
(8x3 + 80x2 + 200x) மற்றும் (4x4 + 16x3 - 20x2)
⇒ 8x3 + 80x2 + 200x
⇒ 8x(x2 + 10x + 25)
⇒ 8x(x2 + 5x + 5x + 25)
⇒ 8x{x(x+ 5) + 5(x + 5)}
⇒ 8x(x + 5)(x + 5)
இப்போது நாம் இரண்டாவது சமன்பாட்டிலிருந்து பொதுவானதை எடுத்துக்கொள்கிறோம்
⇒ 4x4 + 16x3 - 20x2
⇒ 4x2 (x2 + 4x - 5)
⇒ 4x2 (x2 - x + 5x - 5)
⇒ 4x2 {x(x - 1) + 5(x - 1)}
⇒ 4x2 (x - 1)(x+ 5)
இப்போது நாம் இரண்டு சமன்பாடுகளிலிருந்து பொதுவானதை எடுக்க வேண்டும்
⇒ முதல் சமன்பாடு = 8x(x + 5)(x + 5)
⇒ 2வது சமன்பாடு = 4x2 (x - 1)(x+ 5)
⇒ மீ.சி.ம = 8x2(x + 5)2(x - 1)
⇒ எனவே, விருப்பம் 1 சரியானது
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