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The expanded form of (x + y + 2z)2 is :-
  • a)
    x2 + y2 + 4z2 + 2xy + 2yz + 2zx
  • b)
    x2 + y2 + 4z2 + xy + 2yz + 2zx
  • c)
    x2 + y2 + 4z2 + 2xy + 4yz + 4zx
  • d)
    x2 + y2 + 4z2 + 2xy + 2yz + 4zx
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The expanded form of (x + y + 2z)2is :-a)x2+ y2+ 4z2+ 2xy + 2yz + 2zxb...
Solution:

Given expression is (x y 2z)2

To expand the given expression, we can use the formula (a + b)2 = a2 + 2ab + b2.

Therefore, (x y 2z)2 = (x y 2z)(x y 2z)

Expanding the above expression using the distributive property, we get:

= x(x y 2z) + y(x y 2z) + 2z(x y 2z)

= x2 + xy + 2xz + yx + y2 + 2yz + 2zx + 2zy + 4z2

= x2 y2 4z2 2xy 4yz 4zx

Therefore, the expanded form of (x y 2z)2 is x2 y2 4z2 2xy 4yz 4zx, which is option 'C'.
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Community Answer
The expanded form of (x + y + 2z)2is :-a)x2+ y2+ 4z2+ 2xy + 2yz + 2zxb...
Yes, It solved By using formula:-
(a+b+c)² = a²+b²+c²+2ab+2bc+2ca
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The expanded form of (x + y + 2z)2is :-a)x2+ y2+ 4z2+ 2xy + 2yz + 2zxb)x2+ y2+ 4z2+ xy + 2yz + 2zxc)x2+ y2+ 4z2+ 2xy + 4yz + 4zxd)x2+ y2+ 4z2+ 2xy + 2yz + 4zxCorrect answer is option 'C'. Can you explain this answer?
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