(x+2y+32)² =
A) x²-4y² +92² + 4xy-12yz-6zx
B) x² +4² +92² + 4xy+12yz + 6zx
C) x²-4y²-9z² + 4xy+12yz-6zx
D) x²-4y² +9² +4xy+12yz-6zx
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2
Answer:
We take a = x, b = 2y, c = 3z in the
expansion
(a+b+c)²=a² + b² + c² + 2ab + 2bc + 2ca
We obtain,
(x+2y+3z)² = x² + (2y)² + (3z)² + 2x(2y) + 2(2y) (3z) + 2(3z)x= x² + 4y² + 9z² + 4xy + 12yz + 6zx
So the correct option is b
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