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Let’s check out your problem:
Subtract.
\newline
(
8
y
2
+
8
)
−
(
7
y
2
+
4
)
(8y^2 + 8) - (7y^2 + 4)
(
8
y
2
+
8
)
−
(
7
y
2
+
4
)
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Math Problems
Algebra 1
Add and subtract polynomials
Full solution
Q.
Subtract.
\newline
(
8
y
2
+
8
)
−
(
7
y
2
+
4
)
(8y^2 + 8) - (7y^2 + 4)
(
8
y
2
+
8
)
−
(
7
y
2
+
4
)
Identify Expressions:
Identify the expressions to be subtracted and rewrite the problem without parentheses.
\newline
(
8
y
2
+
8
)
−
(
7
y
2
+
4
)
=
8
y
2
+
8
−
7
y
2
−
4
(8y^2 + 8) - (7y^2 + 4) = 8y^2 + 8 - 7y^2 - 4
(
8
y
2
+
8
)
−
(
7
y
2
+
4
)
=
8
y
2
+
8
−
7
y
2
−
4
Combine Like Terms:
Combine like terms by subtracting the coefficients of the
y
2
y^2
y
2
terms and the constant terms separately.
\newline
8
y
2
−
7
y
2
+
8
−
4
=
(
8
−
7
)
y
2
+
(
8
−
4
)
8y^2 - 7y^2 + 8 - 4 = (8 - 7)y^2 + (8 - 4)
8
y
2
−
7
y
2
+
8
−
4
=
(
8
−
7
)
y
2
+
(
8
−
4
)
Simplify Expression:
Simplify the expression by performing the subtractions.
\newline
(
8
−
7
)
y
2
+
(
8
−
4
)
=
1
y
2
+
4
(8 - 7)y^2 + (8 - 4) = 1y^2 + 4
(
8
−
7
)
y
2
+
(
8
−
4
)
=
1
y
2
+
4
Final Simplified Expression:
Since
1
y
2
1y^2
1
y
2
is the same as
y
2
y^2
y
2
, the final simplified expression is:
\newline
y
2
+
4
y^2 + 4
y
2
+
4
More problems from Add and subtract polynomials
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\newline
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\newline
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\newline
(
9
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(
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Find the product. Simplify your answer.
\newline
(
v
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\newline
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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
)
÷
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(24t^2 + 36t) \div 6t
(
24
t
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+
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t
)
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\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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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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