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Let’s check out your problem:
Find the product. Simplify your answer.
\newline
(
v
+
4
)
(
2
v
−
4
)
(v + 4)(2v - 4)
(
v
+
4
)
(
2
v
−
4
)
View step-by-step help
Home
Math Problems
Algebra 1
Multiply polynomials
Full solution
Q.
Find the product. Simplify your answer.
\newline
(
v
+
4
)
(
2
v
−
4
)
(v + 4)(2v - 4)
(
v
+
4
)
(
2
v
−
4
)
Multiply outer terms:
Next, we multiply the outer terms:
v
×
(
−
4
)
=
−
4
v
v \times (-4) = -4v
v
×
(
−
4
)
=
−
4
v
.
Multiply inner terms:
Then, we multiply the inner terms:
4
×
2
v
=
8
v
4 \times 2v = 8v
4
×
2
v
=
8
v
.
Multiply last terms:
Finally, we multiply the last terms:
4
×
(
−
4
)
=
−
16
4 \times (-4) = -16
4
×
(
−
4
)
=
−
16
.
Combine all products:
Now, we combine all the products:
2
v
2
−
4
v
+
8
v
−
16
2v^2 - 4v + 8v - 16
2
v
2
−
4
v
+
8
v
−
16
.
Combine like terms:
We then combine like terms:
−
4
v
-4v
−
4
v
and
8
v
8v
8
v
add up to
4
v
4v
4
v
. So, the simplified expression is
2
v
2
+
4
v
−
16
2v^2 + 4v - 16
2
v
2
+
4
v
−
16
.
More problems from Multiply polynomials
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Find the degree of this polynomial.
\newline
`5b^{10} + 3b^3`
\newline
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Question
Subtract.
\newline
(
9
a
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−
(
2
a
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(9a + 5) - (2a + 4)
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9
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\newline
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Question
Find the product. Simplify your answer.
\newline
−
3
v
2
(
v
2
−
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)
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−
3
v
2
(
v
2
−
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)
\newline
________
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Posted 5 months ago
Question
Find the product. Simplify your answer.
\newline
(
v
−
3
)
(
4
v
+
1
)
(v - 3)(4v + 1)
(
v
−
3
)
(
4
v
+
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)
\newline
______
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Posted 5 months ago
Question
Find the square. Simplify your answer.
\newline
(
3
y
+
2
)
2
(3y + 2)^2
(
3
y
+
2
)
2
\newline
______
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Posted 5 months ago
Question
Divide. If there is a remainder, include it as a simplified fraction.
\newline
(
24
t
2
+
36
t
)
÷
6
t
(24t^2 + 36t) \div 6t
(
24
t
2
+
36
t
)
÷
6
t
\newline
______
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Posted 5 months ago
Question
Is the function
q
(
x
)
=
x
6
−
9
q(x) = x^6 - 9
q
(
x
)
=
x
6
−
9
even, odd, or neither?
\newline
Choices:
\newline
[[even][odd][neither]]
\text{[[even][odd][neither]]}
[[even][odd][neither]]
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Posted 9 months ago
Question
Find the product. Simplify your answer.
\newline
−
3
q
2
(
−
3
q
2
+
q
)
-3q^2(-3q^2 + q)
−
3
q
2
(
−
3
q
2
+
q
)
\newline
______
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Posted 9 months ago
Question
Find the product. Simplify your answer.
\newline
(
r
+
3
)
(
4
r
+
2
)
(r + 3)(4r + 2)
(
r
+
3
)
(
4
r
+
2
)
\newline
______
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Posted 9 months ago
Question
Find the roots of the factored polynomial.
\newline
(
x
+
7
)
(
x
+
4
)
(x + 7)(x + 4)
(
x
+
7
)
(
x
+
4
)
\newline
Write your answer as a list of values separated by commas.
\newline
x
=
x =
x
=
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Posted 9 months ago
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