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Q: Write the expanded form of (9a + 6b + 4c)². (9a + 6b + 4c)² को विस्तारित रूप में लिखिए।
  • A. 81a² + 36b² + 16c² + 108ab + 43bc + 72ac
  • B. 81a² + 36b² + 16c² + 108ab + 48bc + 72ac
  • C. 81a² + 36b² + 16c² + 108ab + 48bc + 82ac
  • D. 81a² + 36b² + 16c² + 112ab + 48bc + 72ac
Correct Answer: Option B - दिया गया है– (9a + 6b + 4c)² ∵ (a+b+c)² = a²+b²+c²+2ab+2bc+2ca ∴ (9a)²+(6b)²+(4c)²+2×9a×6b+2×6b×4c+2×4c×9a = 81a² + 36b² + 16c² + 108ab + 48bc + 72ac
B. दिया गया है– (9a + 6b + 4c)² ∵ (a+b+c)² = a²+b²+c²+2ab+2bc+2ca ∴ (9a)²+(6b)²+(4c)²+2×9a×6b+2×6b×4c+2×4c×9a = 81a² + 36b² + 16c² + 108ab + 48bc + 72ac

Explanations:

दिया गया है– (9a + 6b + 4c)² ∵ (a+b+c)² = a²+b²+c²+2ab+2bc+2ca ∴ (9a)²+(6b)²+(4c)²+2×9a×6b+2×6b×4c+2×4c×9a = 81a² + 36b² + 16c² + 108ab + 48bc + 72ac