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Let’s check out your problem:
Find the square. Simplify your answer.
\newline
(
c
−
3
)
2
(c - 3)^2
(
c
−
3
)
2
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Math Problems
Algebra 1
Multiply polynomials
Full solution
Q.
Find the square. Simplify your answer.
\newline
(
c
−
3
)
2
(c - 3)^2
(
c
−
3
)
2
Use Formula:
To square the binomial
(
c
−
3
)
(c - 3)
(
c
−
3
)
, we will use the formula
(
a
−
b
)
2
=
a
2
−
2
a
b
+
b
2
(a - b)^2 = a^2 - 2ab + b^2
(
a
−
b
)
2
=
a
2
−
2
ab
+
b
2
, where
a
=
c
a = c
a
=
c
and
b
=
3
b = 3
b
=
3
.
Square First Term:
First, we square the first term,
c
c
c
, to get
c
2
c^2
c
2
.
Multiply and Double:
Next, we multiply the first term,
c
c
c
, by the second term,
3
3
3
, and double it to get
2
×
c
×
3
2 \times c \times 3
2
×
c
×
3
, which simplifies to
6
c
6c
6
c
.
Square Second Term:
Finally, we square the second term,
3
3
3
, to get
3
2
3^2
3
2
, which is
9
9
9
.
Combine Terms:
Now we combine all the terms to get the final simplified form:
c
2
−
6
c
+
9
c^2 - 6c + 9
c
2
−
6
c
+
9
.
More problems from Multiply polynomials
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Find the degree of this polynomial.
\newline
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\newline
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Question
Subtract.
\newline
(
9
a
+
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)
−
(
2
a
+
4
)
(9a + 5) - (2a + 4)
(
9
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Question
Find the product. Simplify your answer.
\newline
−
3
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v
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−
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)
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−
3
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v
2
−
9
)
\newline
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Question
Find the product. Simplify your answer.
\newline
(
v
−
3
)
(
4
v
+
1
)
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(
v
−
3
)
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v
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Question
Find the square. Simplify your answer.
\newline
(
3
y
+
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)
2
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(
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
)
÷
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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
)
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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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