Answer:
x
24
−
27
y
6
Rewrite
8
x
24
as
(
2
x
8
)
3
.
(
2
x
8
)
3
−
27
y
6
Rewrite
27
y
6
as
(
3
y
2
)
3
.
(
2
x
8
)
3
−
(
3
y
2
)
3
Since both terms are perfect cubes, factor using the difference of cubes formula,
a
3
−
b
3
=
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
where
a
=
2
x
8
and
b
=
3
y
2
.
(
2
x
8
−
(
3
y
2
)
)
(
(
2
x
8
)
2
+
2
x
8
(
3
y
2
)
+
(
3
y
2
)
2
)
Simplify.
Tap for more steps...
(
2
x
8
−
3
y
2
)
(
4
x
16
+
6
x
8
y
2
+
9
y
4
)
x
24
−
27
y
6
Rewrite
8
x
24
as
(
2
x
8
)
3
.
(
2
x
8
)
3
−
27
y
6
Rewrite
27
y
6
as
(
3
y
2
)
3
.
(
2
x
8
)
3
−
(
3
y
2
)
3
Since both terms are perfect cubes, factor using the difference of cubes formula,
a
3
−
b
3
=
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
where
a
=
2
x
8
and
b
=
3
y
2
.
(
2
x
8
−
(
3
y
2
)
)
(
(
2
x
8
)
2
+
2
x
8
(
3
y
2
)
+
(
3
y
2
)
2
)
Simplify.
Tap for more steps...
(
2
x
8
−
3
y
2
)
(
4
x
16
+
6
x
8
y
2
+
9
y
4
)
Explanation:
Answer:
As capitalists began to dominate the economies of many countries during the Industrial Revolution, the rapid growth of businesses and their tremendous profitability gave some owners the capital they needed to create enormous corporations that could monopolize an entire industry.
Explanation:
14th amendment . Which granted citizenship to all persons born or naturalized in the United States—including former slaves—and guaranteed all citizens “equal protection of the laws.”
An early landmark moment in the Industrial Revolution came near the end of the eighteenth century, when Samuel Slater brought new manufacturing technologies from Britain<span> to the United States and founded the first U.S. </span>cotton mill<span> in Beverly, Massachusetts.</span>