Answer:
x
3
−
8
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
factors to x
8
factors to 2
x
3
−
8
=
(
x
−
2
)
(
x
2
+
4
x
+
4
)
Hope it help ! :D
