-x-y+z ka whole square formula
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Answer:
Step-by-step explanation:
(-x-y +z) ^2 gives us
-x^2 -y^2 +z^-2xy - 2zx-2yz
This makes the complete identity
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Answered by
3
Given,
The expression (-x-y+z)² is given.
To find,
We have to find the value of (-x-y+z)².
Solution,
The value of (-x-y+z)² is x² +y² +z² +2xy -2yz -2zx.
We can simply find the value of (-x-y+z)² by using the algebraic identity,
(a+b+c)² = a² + b² + c² +2ab + 2bc + 2ca
a = -x, b = -y, c = z
(-x-y+z)² = (-x)² + (-y)² + (z)² + 2(-x)(-y) + 2(-y)(z) + 2 (z)(-x)
= x² +y² +z² +2xy -2yz -2zx
Hence, the value of (-x-y+z)² is x² +y² +z² +2xy -2yz -2zx.
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