Step-by-step Solution

Factor the expression $x^2-1\cdot 2xy+y^2$

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Final Answer

$\left(x-y\right)^{2}$
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Step-by-step Solution

Problem to solve:

$factor\left(x^2-1\cdot 2\cdot x\cdot y+y^2\right)$

Choose the solving method

1

Multiply $-1$ times $2$

$x^2-2xy+y^2$

Learn how to solve factorization problems step by step online.

$x^2-2xy+y^2$

Unlock this full step-by-step solution!

Learn how to solve factorization problems step by step online. Factor the expression x^2-*2*x*y+y^2. Multiply -1 times 2. The trinomial x^2-2xy+y^2 is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial.

Final Answer

$\left(x-y\right)^{2}$
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1
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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

Tips on how to improve your answer:

$factor\left(x^2-1\cdot 2\cdot x\cdot y+y^2\right)$

Main topic:

Factorization

Time to solve it:

~ 0.04 s