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Let’s check out your problem:
Find the product. Simplify your answer.
\newline
(
4
p
+
4
)
(
p
+
4
)
(4p + 4)(p + 4)
(
4
p
+
4
)
(
p
+
4
)
View step-by-step help
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Math Problems
Algebra 1
Multiply two binomials
Full solution
Q.
Find the product. Simplify your answer.
\newline
(
4
p
+
4
)
(
p
+
4
)
(4p + 4)(p + 4)
(
4
p
+
4
)
(
p
+
4
)
Perform Multiplication:
Now, we will perform the multiplication for each term.
\newline
4
p
×
p
=
4
p
2
4p \times p = 4p^2
4
p
×
p
=
4
p
2
(First)
\newline
4
p
×
4
=
16
p
4p \times 4 = 16p
4
p
×
4
=
16
p
(Outer)
\newline
4
×
p
=
4
p
4 \times p = 4p
4
×
p
=
4
p
(Inner)
\newline
4
×
4
=
16
4 \times 4 = 16
4
×
4
=
16
(Last)
Add Terms Together:
Next, we will add all the terms together.
4
p
2
+
16
p
+
4
p
+
16
4p^2 + 16p + 4p + 16
4
p
2
+
16
p
+
4
p
+
16
Combine Like Terms:
Now, we will combine like terms
16
p
16p
16
p
and
4
p
4p
4
p
.
4
p
2
+
(
16
p
+
4
p
)
+
16
4p^2 + (16p + 4p) + 16
4
p
2
+
(
16
p
+
4
p
)
+
16
4
p
2
+
20
p
+
16
4p^2 + 20p + 16
4
p
2
+
20
p
+
16
Simplify Expression:
We have now simplified the expression completely.
\newline
The final answer is
4
p
2
+
20
p
+
16
4p^2 + 20p + 16
4
p
2
+
20
p
+
16
.
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(
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24
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(
24
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q
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q
(
x
)
=
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6
−
9
even, odd, or neither?
\newline
Choices:
\newline
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\text{[[even][odd][neither]]}
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\newline
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+
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)
(
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)
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r
+
3
)
(
4
r
+
2
)
\newline
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\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
=
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=
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