x²+2xy+y² what is this
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Answer:
x²+2xy+y² =( x+y)²
Step-by-step explanation:
It is not exactly clear what the questioner had in mind here.
I will assume we are to simplify the expression (and that
X
=
x
)
f
(
x
,
y
)
=
x
2
+
2
x
y
+
y
2
f
(
x
,
y
)
is the well known expansion of
(
x
+
y
)
2
Check:
(
x
+
y
)
(
x
+
y
)
=
x
2
+
x
y
+
y
x
+
y
2
=
x
2
+
2
x
y
+
y
2