$\left(x+2y-z\right)^2$

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Final answer to the problem

$x^2+4y^2+z^2+4xy-2xz-4yz$
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Step-by-step Solution

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Apply the formula: $\left(a+b+c\right)^2$$=a^2+b^2+c^2+2ab+2ac+2bc$, where $a=x$, $b=2y$ and $c=-z$

$x^2+\left(2y\right)^2+\left(-z\right)^2+2\cdot 2xy+2\cdot -1xz+2\cdot 2\cdot -1yz$

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$x^2+\left(2y\right)^2+\left(-z\right)^2+2\cdot 2xy+2\cdot -1xz+2\cdot 2\cdot -1yz$

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Learn how to solve problems step by step online. (x+2y-z)^2. Apply the formula: \left(a+b+c\right)^2=a^2+b^2+c^2+2ab+2ac+2bc, where a=x, b=2y and c=-z. Apply the formula: ab=ab, where ab=2\cdot 2xy, a=2 and b=2. Apply the formula: ab=ab, where ab=2\cdot -1xz, a=2 and b=-1. Apply the formula: ab=ab, where ab=2\cdot 2\cdot -1yz, a=2 and b=2.

Final answer to the problem

$x^2+4y^2+z^2+4xy-2xz-4yz$

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Function Plot

Plotting: $x^2+4y^2+z^2+4xy-2xz-4yz$

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5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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