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# Factor the expression $x^2-y^2$

## Step-by-step Solution

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###  Videos

$\left(x+y\right)\left(x-y\right)$
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##  Step-by-step Solution 

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Simplify $\sqrt{x^2}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $2$ and $n$ equals $\frac{1}{2}$

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

Learn how to solve factorization problems step by step online.

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

Learn how to solve factorization problems step by step online. Factor the expression x^2-y^2. Simplify \sqrt{x^2} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals \frac{1}{2}. Any expression multiplied by 1 is equal to itself. Simplify \sqrt{y^2} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals \frac{1}{2}. Any expression multiplied by 1 is equal to itself.

$\left(x+y\right)\left(x-y\right)$

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

SimplifyFactorFactor by completing the squareFind the integralFind the derivativeFind x^2+-1y^2 using the definitionFind break even pointsFind the discriminant

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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

### Main Topic: Factorization

In mathematics, factorization or factoring is the decomposition of an object (for example, a number, a polynomial, or a matrix) into a product of other objects, or factors, which when multiplied together give the original.

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