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Let’s check out your problem:
Rewrite in simplest terms:
0.8
n
−
0.1
(
5
n
+
5
)
0.8 n-0.1(5 n+5)
0.8
n
−
0.1
(
5
n
+
5
)
\newline
Answer:
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Home
Math Problems
Algebra 2
Multiply complex numbers
Full solution
Q.
Rewrite in simplest terms:
0.8
n
−
0.1
(
5
n
+
5
)
0.8 n-0.1(5 n+5)
0.8
n
−
0.1
(
5
n
+
5
)
\newline
Answer:
Distribute
−
0.1
-0.1
−
0.1
:
Distribute
−
0.1
-0.1
−
0.1
across the terms inside the parentheses.
\newline
0.8
n
−
0.1
(
5
n
+
5
)
=
0.8
n
−
(
0.1
×
5
n
)
−
(
0.1
×
5
)
0.8n - 0.1(5n + 5) = 0.8n - (0.1 \times 5n) - (0.1 \times 5)
0.8
n
−
0.1
(
5
n
+
5
)
=
0.8
n
−
(
0.1
×
5
n
)
−
(
0.1
×
5
)
Perform the multiplication:
Perform the multiplication.
0.8
n
−
(
0.1
×
5
n
)
−
(
0.1
×
5
)
=
0.8
n
−
0.5
n
−
0.5
0.8n - (0.1 \times 5n) - (0.1 \times 5) = 0.8n - 0.5n - 0.5
0.8
n
−
(
0.1
×
5
n
)
−
(
0.1
×
5
)
=
0.8
n
−
0.5
n
−
0.5
Combine like terms:
Combine like terms.
\newline
0.8
n
−
0.5
n
−
0.5
=
(
0.8
−
0.5
)
n
−
0.5
0.8n - 0.5n - 0.5 = (0.8 - 0.5)n - 0.5
0.8
n
−
0.5
n
−
0.5
=
(
0.8
−
0.5
)
n
−
0.5
Simplify the coefficients:
Simplify the coefficients.
\newline
(
0.8
−
0.5
)
n
−
0.5
=
0.3
n
−
0.5
(0.8 - 0.5)n - 0.5 = 0.3n - 0.5
(
0.8
−
0.5
)
n
−
0.5
=
0.3
n
−
0.5
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+
bi
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a
a
a
and
b
b
b
are real numbers.
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23
i
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13
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\newline
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