The factors of ×4 y4 are
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Step-by-step explanation:
Expression
=
x
4
−
y
4
Recall the factorization of the difference of two squares:
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
In our example, we will use this factorization twice.
Note:
x
4
=
(
x
2
)
2
and
y
4
=
(
y
2
)
2
Applying the factorization above:
Expression
=
(
x
2
+
y
2
)
(
x
2
−
y
2
)
Now, the second factor above is also the difference of two squares.
Hence, Expression
=
(
x
+
y
)
(
x
−
y
)
(
x
2
+
y
2
)
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