Answer:
x
3
y
6
−
64
is the difference of two cubes and can be factored in the following pattern.
a
3
−
b
3
=
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
a
3
factors to a
b
3
factors to b
The pattern of the signs follows the acronym SOAP
S = same sign as the cubes
O = opposite sins of the cubes
AP = always positive
x
3
y
3
factors to xy
64
factors to 4
x
3
y
3
−
64
=
(
x
y
−
4
)
(
x
2
y
2
+
4
x
y
+
16
)
Step-by-step explanation:
