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Algebra Baldor
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Factor the expression $x^8-2x^4+1$

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Solution

Formulas

Videos

Special Products

· Perfect Square Trinomial
$a^2+2ab+b^2=(a+b)^2$
· Perfect Square Trinomial
$ a^2-2ab+b^2= (a-b)^2$
· Difference of two Squares
$a^2-b^2=(a+b)(a-b)$

Function Plot

Plotting: $\left(x^{2}+1\right)^{2}\left(x+1\right)^{2}\left(x-1\right)^{2}$

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

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
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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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 (2)

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