- 8x + 4 ≤ 36
Subtract 4 from both sides.
-8x ≤ 32
Divide both sides by -8. When dividing by a negative number change the
x ≥ - 4 inequality sign.
Letter A
Answer:
А.(x-6)(x2 + 6x + 36)
Step-by-step explanation:
Remember this formula for factorizing difference of 2 cubes:
a
3
−
b
3
=
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
In
x
3
−
216
,
a
3
=
x
3
b
3
=
216
a
=
3
√
x
3
=
x
b
=
3
√
216
=
6
Substitute
a
=
x
,
b
=
6
into the formula of
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
(
x
−
6
)
(
x
2
+ (
6
x
x
) +
6
2
)
=
(
x
−
6
)
(
x
2
+
6
x
+
36
)
(
x
−
6
)
(
x
2
+
6
x
+
36
)
is the factorized form of
x
3
−
216
