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Let’s check out your problem:
Rewrite in simplest terms:
5
(
−
8
b
−
5
b
+
8
)
−
4
b
5(-8 b-5 b+8)-4 b
5
(
−
8
b
−
5
b
+
8
)
−
4
b
\newline
Answer:
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Home
Math Problems
Algebra 2
Sum of finite series starts from 1
Full solution
Q.
Rewrite in simplest terms:
5
(
−
8
b
−
5
b
+
8
)
−
4
b
5(-8 b-5 b+8)-4 b
5
(
−
8
b
−
5
b
+
8
)
−
4
b
\newline
Answer:
Combine like terms:
Combine like terms inside the parentheses.
\newline
5
(
−
8
b
−
5
b
+
8
)
=
5
(
−
13
b
+
8
)
5(-8b - 5b + 8) = 5(-13b + 8)
5
(
−
8
b
−
5
b
+
8
)
=
5
(
−
13
b
+
8
)
Distribute and simplify:
Distribute the
5
5
5
across the terms inside the parentheses.
\newline
5
(
−
13
b
)
+
5
(
8
)
=
−
65
b
+
40
5(-13b) + 5(8) = -65b + 40
5
(
−
13
b
)
+
5
(
8
)
=
−
65
b
+
40
Combine with outside term:
Combine the result with the
−
4
b
-4b
−
4
b
that is outside the parentheses.
\newline
−
65
b
+
40
−
4
b
-65b + 40 - 4b
−
65
b
+
40
−
4
b
Final simplification:
Combine like terms to simplify the expression further.
\newline
−
65
b
−
4
b
+
40
=
−
69
b
+
40
-65b - 4b + 40 = -69b + 40
−
65
b
−
4
b
+
40
=
−
69
b
+
40
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2
=
S_2 =
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=
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3
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Question
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\newline
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4
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27
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\newline
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