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
3.5(2h+4.5)=57.75
7h+15.75=57.75
7h=57.75-15.75
7h=42
h=42/7
h=6
Answer:
1.
Step-by-step explanation:
7 * t = 7t
7 * 2 = 14
7(t+2) = 7t + 14
Answer:
The solution is (x, y, z) = (6, 4, 3).
