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equalizer
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Proving Polynomial Identities
Choose Course
Algebra 2
Polynomial Functions
Proving Polynomial Identities
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Proving Polynomial Identities 1.18 - Solution
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Return to Proving Polynomial Identities
To
factor
the given
expression
, we will apply the
difference of squares
.
a
2
−
b
2
⇔
(
a
+
b
)
(
a
−
b
)
Let's start!
4
9
k
4
−
9
SplitIntoFactors
Split into factors
4
9
k
2
⋅
2
−
9
ProdInExponent
a
m
⋅
n
=
(
a
m
)
n
4
9
(
k
2
)
2
−
9
WritePow
Write as a power
7
2
(
k
2
)
2
−
3
2
ProdPow
a
m
⋅
b
m
=
(
a
⋅
b
)
m
(
7
k
2
)
2
−
3
2
FacDiffSquares
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
(
7
k
2
+
3
)
(
7
k
2
−
3
)