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Let’s check out your problem:
Express as a single
fraction
in its simplest form.
\newline
1
+
y
−
y
+
2
y
−
1
1+y-\frac{y+2}{y-1}
1
+
y
−
y
−
1
y
+
2
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Home
Math Problems
Algebra 2
Conjugate root theorems
Full solution
Q.
Express as a single fraction in its simplest form.
\newline
1
+
y
−
y
+
2
y
−
1
1+y-\frac{y+2}{y-1}
1
+
y
−
y
−
1
y
+
2
Combine terms in numerator:
Combine the terms in the numerator:
1
+
y
−
(
y
+
2
)
1 + y - (y + 2)
1
+
y
−
(
y
+
2
)
.
Distribute negative sign:
Distribute the negative sign to the terms inside the parentheses:
1
+
y
−
y
−
2
1 + y - y - 2
1
+
y
−
y
−
2
.
Simplify expression:
Simplify the expression by combining like terms:
1
−
2
1 - 2
1
−
2
.
Final simplified expression:
The simplified expression is now
−
1
y
−
1
-\frac{1}{y-1}
−
y
−
1
1
.
More problems from Conjugate root theorems
Question
Find the degree of this polynomial.
\newline
`5b^{10} + 3b^3`
\newline
_______
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Posted 5 months ago
Question
Subtract.
\newline
(
9
a
+
5
)
−
(
2
a
+
4
)
(9a + 5) - (2a + 4)
(
9
a
+
5
)
−
(
2
a
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4
)
\newline
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Question
Find the product. Simplify your answer.
\newline
−
3
v
2
(
v
2
−
9
)
-3v^2(v^2 - 9)
−
3
v
2
(
v
2
−
9
)
\newline
________
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Posted 5 months ago
Question
Find the product. Simplify your answer.
\newline
(
v
−
3
)
(
4
v
+
1
)
(v - 3)(4v + 1)
(
v
−
3
)
(
4
v
+
1
)
\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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