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Let’s check out your problem:
Rewrite in simplest terms:
0.4
(
3
k
+
4
k
+
9
)
−
0.3
k
0.4(3 k+4 k+9)-0.3 k
0.4
(
3
k
+
4
k
+
9
)
−
0.3
k
\newline
Answer:
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Math Problems
Algebra 2
Find the roots of factored polynomials
Full solution
Q.
Rewrite in simplest terms:
0.4
(
3
k
+
4
k
+
9
)
−
0.3
k
0.4(3 k+4 k+9)-0.3 k
0.4
(
3
k
+
4
k
+
9
)
−
0.3
k
\newline
Answer:
Distribute and Multiply:
First, distribute
0.4
0.4
0.4
to each term inside the parentheses.
\newline
0.4
×
3
k
+
0.4
×
4
k
+
0.4
×
9
0.4 \times 3k + 0.4 \times 4k + 0.4 \times 9
0.4
×
3
k
+
0.4
×
4
k
+
0.4
×
9
Perform Multiplication:
Now, perform the multiplication for each term.
\newline
1.2
k
+
1.6
k
+
3.6
1.2k + 1.6k + 3.6
1.2
k
+
1.6
k
+
3.6
Combine Like Terms:
Combine like terms
1.2
k
1.2k
1.2
k
and
1.6
k
1.6k
1.6
k
.
1.2
k
+
1.6
k
=
2.8
k
1.2k + 1.6k = 2.8k
1.2
k
+
1.6
k
=
2.8
k
Rewrite Expression:
Now, rewrite the expression with the combined like terms.
2.8
k
+
3.6
−
0.3
k
2.8k + 3.6 - 0.3k
2.8
k
+
3.6
−
0.3
k
Subtract and Combine:
Subtract
0.3
k
0.3k
0.3
k
from
2.8
k
2.8k
2.8
k
to combine the
k
k
k
terms.
\newline
2.8
k
−
0.3
k
=
2.5
k
2.8k - 0.3k = 2.5k
2.8
k
−
0.3
k
=
2.5
k
Write Simplified Expression:
Finally, write down the simplified expression.
2.5
k
+
3.6
2.5k + 3.6
2.5
k
+
3.6
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−
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\newline
(
x
+
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(
x
+
4
)
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(
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(
x
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\newline
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\newline
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