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Answer:
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Step-by-step explanation:
The difference of squares identity can be written:
a
2
−
b
2
=
(
a
−
b
)
(
a
+
b
)
Hence we find:
16
x
4
−
81
y
4
=
(
4
x
2
)
2
−
(
9
y
2
)
2
16
x
4
−
81
y
4
=
(
4
x
2
−
9
y
2
)
(
4
x
2
+
9
y
2
)
16
x
4
−
81
y
4
=
(
(
2
x
)
2
−
(
3
y
)
2
)
(
4
x
2
+
9
y
2
)
16
x
4
−
81
y
4
=
(
2
x
−
3
y
)
(
2
x
+
3
y
)
(
4
x
2
+
9
y
2
)
The remaining quadratic factor has no linear factors with Real coefficients.
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