Factor the expression $x^4-9$

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Final answer to the problem

$\left(x^{2}+3\right)\left(x^{2}-3\right)$
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Step-by-step Solution

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Simplify $\sqrt{x^4}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $4$ and $n$ equals $\frac{1}{2}$

Learn how to solve factor by difference of squares problems step by step online.

$\left(x^{2}+\sqrt{9}\right)\left(\sqrt{x^4}-\sqrt{9}\right)$

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Learn how to solve factor by difference of squares problems step by step online. Factor the expression x^4-9. Simplify \sqrt{x^4} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 4 and n equals \frac{1}{2}. Calculate the power \sqrt{9}. Simplify \sqrt{x^4} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 4 and n equals \frac{1}{2}. Calculate the power \sqrt{9}.

Final answer to the problem

$\left(x^{2}+3\right)\left(x^{2}-3\right)$

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Function Plot

Plotting: $\left(x^{2}+3\right)\left(x^{2}-3\right)$

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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

How to improve your answer:

Main Topic: Factor by Difference of Squares

The difference of two squares is a squared number subtracted from another squared number. Every difference of squares may be factored according to the identity a^2-b^2=(a+b)(a-b) in elementary algebra.

Used Formulas

See formulas (1)

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