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Let’s check out your problem:
Combine like terms.
\newline
−
x
−
7
x
+
2
y
2
+
6
y
2
−
2
y
+
4
y
+
2
y
2
-x-7 x+2 y^{2}+6 y^{2}-2 y+4 y+2 y^{2}
−
x
−
7
x
+
2
y
2
+
6
y
2
−
2
y
+
4
y
+
2
y
2
\newline
Answer:
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Math Problems
Algebra 2
Multiply and divide rational expressions
Full solution
Q.
Combine like terms.
\newline
−
x
−
7
x
+
2
y
2
+
6
y
2
−
2
y
+
4
y
+
2
y
2
-x-7 x+2 y^{2}+6 y^{2}-2 y+4 y+2 y^{2}
−
x
−
7
x
+
2
y
2
+
6
y
2
−
2
y
+
4
y
+
2
y
2
\newline
Answer:
Combine 'x' terms:
Combine the terms with 'x':
−
x
−
7
x
-x - 7x
−
x
−
7
x
. Add the coefficients of these terms together.
\newline
Calculation:
−
1
x
−
7
x
=
−
8
x
-1x - 7x = -8x
−
1
x
−
7
x
=
−
8
x
Combine
y
2
y^2
y
2
terms:
Combine the terms with
y
2
y^2
y
2
:
2
y
2
+
6
y
2
+
2
y
2
2y^2 + 6y^2 + 2y^2
2
y
2
+
6
y
2
+
2
y
2
. Add the coefficients of these terms together.
\newline
Calculation:
2
y
2
+
6
y
2
+
2
y
2
=
10
y
2
2y^2 + 6y^2 + 2y^2 = 10y^2
2
y
2
+
6
y
2
+
2
y
2
=
10
y
2
Combine 'y' terms:
Combine the terms with 'y':
−
2
y
+
4
y
+
2
y
-2y + 4y + 2y
−
2
y
+
4
y
+
2
y
. Add the coefficients of these terms together.
\newline
Calculation:
−
2
y
+
4
y
+
2
y
=
4
y
-2y + 4y + 2y = 4y
−
2
y
+
4
y
+
2
y
=
4
y
Write simplified expression:
Now, write down the combined like terms to form the simplified expression.
\newline
Calculation:
−
8
x
+
10
y
2
+
4
y
-8x + 10y^2 + 4y
−
8
x
+
10
y
2
+
4
y
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\newline
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\newline
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\newline
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Simplify. Write your answer using whole numbers and variables.
\newline
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\newline
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Divide. Write your answer in simplest form.
\newline
g
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g
3
+
25
g
2
g
−
1
÷
(
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−
1
)
\newline
______
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Simplify. Express your answer as a single fraction in simplest form.
\newline
5
−
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t
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−
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3
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\newline
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