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Let’s check out your problem:
Find the square. Simplify your answer.
\newline
(
p
+
2
)
2
(p + 2)^2
(
p
+
2
)
2
View step-by-step help
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Math Problems
Algebra 1
Multiply polynomials
Full solution
Q.
Find the square. Simplify your answer.
\newline
(
p
+
2
)
2
(p + 2)^2
(
p
+
2
)
2
Expand Binomials:
To find the square of
(
p
+
2
)
(p + 2)
(
p
+
2
)
, we need to multiply
(
p
+
2
)
(p + 2)
(
p
+
2
)
by itself.
\newline
(
p
+
2
)
2
=
(
p
+
2
)
(
p
+
2
)
(p + 2)^2 = (p + 2)(p + 2)
(
p
+
2
)
2
=
(
p
+
2
)
(
p
+
2
)
Distribute
p
p
p
:
Distribute the first term of the first binomial,
p
p
p
, to each term of the second binomial.
p
(
p
+
2
)
=
p
2
+
2
p
p(p + 2) = p^2 + 2p
p
(
p
+
2
)
=
p
2
+
2
p
Distribute
2
2
2
:
Distribute the second term of the first binomial,
2
2
2
, to each term of the second binomial.
2
(
p
+
2
)
=
2
p
+
4
2(p + 2) = 2p + 4
2
(
p
+
2
)
=
2
p
+
4
Combine Expansions:
Combine the results from the previous two steps to get the full expansion.
\newline
(
p
+
2
)
2
=
(
p
2
+
2
p
)
+
(
2
p
+
4
)
(p + 2)^2 = (p^2 + 2p) + (2p + 4)
(
p
+
2
)
2
=
(
p
2
+
2
p
)
+
(
2
p
+
4
)
Simplify Expression:
Combine like terms to simplify the expression.
p
2
+
2
p
+
2
p
+
4
=
p
2
+
4
p
+
4
p^2 + 2p + 2p + 4 = p^2 + 4p + 4
p
2
+
2
p
+
2
p
+
4
=
p
2
+
4
p
+
4
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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Subtract.
\newline
(
9
a
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−
(
2
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4
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(9a + 5) - (2a + 4)
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9
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Find the product. Simplify your answer.
\newline
−
3
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2
(
v
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−
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)
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−
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v
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v
2
−
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\newline
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Question
Find the product. Simplify your answer.
\newline
(
v
−
3
)
(
4
v
+
1
)
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(
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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