Question
Download Solution PDFWrite the expanded form of (7a + 9b + 6c)2
This question was previously asked in
OSSC Excise SI (Mains) Official Paper (Held On: 17 Oct, 2024 Shift 1)
Answer (Detailed Solution Below)
Option 4 : 49a² + 81b² + 36c² + 126ab + 108bc + 84ac
Detailed Solution
Download Solution PDFGiven:
Expression: (7a + 9b + 6c)2
Formula used:
(x + y + z)2 = x2 + y2 + z2 + 2xy + 2xz + 2yz
Calculation:
Let x = 7a, y = 9b, z = 6c
(7a + 9b + 6c)2 = (7a)2 + (9b)2 + (6c)2 + 2(7a)(9b) + 2(7a)(6c) + 2(9b)(6c)
⇒ (7a + 9b + 6c)2 = 49a2 + 81b2 + 36c2 + 126ab + 84ac + 108bc
Expanded form:
49a2 + 81b2 + 36c2 + 126ab + 84ac + 108bc
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