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Let’s check out your problem:
Subtract.
\newline
(
3
a
2
+
5
a
+
8
)
−
(
2
a
2
+
a
+
7
)
(3a^2 + 5a + 8) - (2a^2 + a + 7)
(
3
a
2
+
5
a
+
8
)
−
(
2
a
2
+
a
+
7
)
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Math Problems
Algebra 1
Add and subtract polynomials
Full solution
Q.
Subtract.
\newline
(
3
a
2
+
5
a
+
8
)
−
(
2
a
2
+
a
+
7
)
(3a^2 + 5a + 8) - (2a^2 + a + 7)
(
3
a
2
+
5
a
+
8
)
−
(
2
a
2
+
a
+
7
)
Write Problem:
Write down the problem and remove the parentheses.
\newline
(
3
a
2
+
5
a
+
8
)
−
(
2
a
2
+
a
+
7
)
=
3
a
2
+
5
a
+
8
−
2
a
2
−
a
−
7
(3a^2 + 5a + 8) - (2a^2 + a + 7) = 3a^2 + 5a + 8 - 2a^2 - a - 7
(
3
a
2
+
5
a
+
8
)
−
(
2
a
2
+
a
+
7
)
=
3
a
2
+
5
a
+
8
−
2
a
2
−
a
−
7
Group Like Terms:
Group the like terms together.
3
a
2
−
2
a
2
+
5
a
−
a
+
8
−
7
3a^2 - 2a^2 + 5a - a + 8 - 7
3
a
2
−
2
a
2
+
5
a
−
a
+
8
−
7
Combine Like Terms:
Combine the like terms.
\newline
(
3
a
2
−
2
a
2
)
+
(
5
a
−
a
)
+
(
8
−
7
)
(3a^2 - 2a^2) + (5a - a) + (8 - 7)
(
3
a
2
−
2
a
2
)
+
(
5
a
−
a
)
+
(
8
−
7
)
Simplify Each Group:
Simplify each group of like terms.
\newline
(
3
a
2
−
2
a
2
)
=
a
2
(3a^2 - 2a^2) = a^2
(
3
a
2
−
2
a
2
)
=
a
2
\newline
(
5
a
−
a
)
=
4
a
(5a - a) = 4a
(
5
a
−
a
)
=
4
a
\newline
(
8
−
7
)
=
1
(8 - 7) = 1
(
8
−
7
)
=
1
Write Final Expression:
Write the final simplified expression.
a
2
+
4
a
+
1
a^2 + 4a + 1
a
2
+
4
a
+
1
More problems from Add and subtract polynomials
Question
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
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+
4
)
(9a + 5) - (2a + 4)
(
9
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−
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\newline
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Find the product. Simplify your answer.
\newline
−
3
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(
v
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−
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-3v^2(v^2 - 9)
−
3
v
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(
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−
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\newline
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Question
Find the product. Simplify your answer.
\newline
(
v
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(
4
v
+
1
)
(v - 3)(4v + 1)
(
v
−
3
)
(
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)
\newline
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Question
Find the square. Simplify your answer.
\newline
(
3
y
+
2
)
2
(3y + 2)^2
(
3
y
+
2
)
2
\newline
______
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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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