Express the expression below as a perfect square: a2 + 9b2 + c2 - 6ab + 6bc - 2ac
(a - 3b - c)2
The correct answer is Option 4 i.e. (a - 3b - c)2.
(x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx
According to the question
⇒ a2 + 9b2 + c2 - 6ab + 6bc - 2ac
⇒ a2 + (-3b)2 + (-c)2 + 2a × -3b + 2 × -b × -c + 2 × a × -c
⇒ (a - 3b - c)2
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