Question
Download Solution PDFWhat is the value of x2 + 4y2 + z2 - 4xy + 4yz - 2xz?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFx2 + 4y2 + z2 - 4xy + 4yz - 2xz
Formula used :-
(a + b +c )2 = a2 + b2+ c2 + 2ab + 2bc + 2ca
Calculation:-
⇒ x2 + 4y2 + z2 - 4xy + 4yz - 2xz
⇒ x2 + (2y)2 + z2 - 2.(x).(2y) + 2.(z).(2y) - 2.(x).(z)
⇒ (-x)2 + (2y)2 + z2 + 2.(-x).(2y) + 2.(z).(2y) + 2.(-x).(z)
Comparing (a + b +c )2 = a2 + b2+ c2 + 2ab + 2bc + 2ca
We get
⇒ (-x)2 + (2y)2 + z2 + 2.(-x).(2y) + 2.(z).(2y) + 2.(-x).(z)
⇒ (2y - x + z)2
∴ The required answer is (2y - x + z)2
Last updated on Jul 22, 2025
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