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Let’s check out your problem:
Find the product. Simplify your answer.
\newline
2
(
−
3
n
2
+
7
)
2(-3n^2 + 7)
2
(
−
3
n
2
+
7
)
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Math Problems
Algebra 2
Multiply polynomials
Full solution
Q.
Find the product. Simplify your answer.
\newline
2
(
−
3
n
2
+
7
)
2(-3n^2 + 7)
2
(
−
3
n
2
+
7
)
Identify Expression:
Identify the expression after using the
distributive property
.
\newline
Distribute
2
2
2
to
−
3
n
2
-3n^2
−
3
n
2
and
7
7
7
.
\newline
2
(
−
3
n
2
+
7
)
=
2
(
−
3
n
2
)
+
2
(
7
)
2(-3n^2 + 7) = 2(-3n^2) + 2(7)
2
(
−
3
n
2
+
7
)
=
2
(
−
3
n
2
)
+
2
(
7
)
Distribute
2
2
2
:
Simplify
2
(
−
3
n
2
)
2(-3n^2)
2
(
−
3
n
2
)
.
\newline
Multiply
2
2
2
and
−
3
n
2
-3n^2
−
3
n
2
.
\newline
2
(
−
3
n
2
)
=
−
6
n
2
2(-3n^2) = -6n^2
2
(
−
3
n
2
)
=
−
6
n
2
Simplify
−
6
n
2
-6n^2
−
6
n
2
:
Simplify
2
(
7
)
2(7)
2
(
7
)
. Multiply
2
2
2
and
7
7
7
.
2
(
7
)
=
14
2(7) = 14
2
(
7
)
=
14
Simplify
14
14
14
:
Combine the simplified terms.
\newline
We found:
\newline
2
(
−
3
n
2
)
=
−
6
n
2
2(-3n^2) = -6n^2
2
(
−
3
n
2
)
=
−
6
n
2
\newline
2
(
7
)
=
14
2(7) = 14
2
(
7
)
=
14
\newline
What is the simplified form of
2
(
−
3
n
2
+
7
)
2(-3n^2 + 7)
2
(
−
3
n
2
+
7
)
?
\newline
2
(
−
3
n
2
+
7
)
=
−
6
n
2
+
14
2(-3n^2 + 7) = -6n^2 + 14
2
(
−
3
n
2
+
7
)
=
−
6
n
2
+
14
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\newline
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\newline
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\newline
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\text{[[even][odd][neither]]}
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\newline
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q
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)
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\newline
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\newline
(
x
+
7
)
(
x
+
4
)
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(
x
+
7
)
(
x
+
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)
\newline
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\newline
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