Answer:
Step-by-step explanation:
3
and
n
.
2
n
3
+
8
=
1
2
n
+
2
Combine
1
2
and
n
.
2
n
3
+
8
=
n
2
+
2
Move all terms containing
n
to the left side of the equation.
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Subtract
n
2
from both sides of the equation.
2
n
3
+
8
−
n
2
=
2
To write
2
n
3
as a fraction with a common denominator, multiply by
2
2
.
2
n
3
⋅
2
2
−
n
2
+
8
=
2
To write
−
n
2
as a fraction with a common denominator, multiply by
3
3
.
2
n
3
⋅
2
2
−
n
2
⋅
3
3
+
8
=
2
Write each expression with a common denominator of
6
, by multiplying each by an appropriate factor of
1
.
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2
n
⋅
2
6
−
n
⋅
3
6
+
8
=
2
Combine the numerators over the common denominator.
2
n
⋅
2
−
n
⋅
3
6
+
8
=
2
Simplify each term.
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n
6
+
8
=
2
