Test:
Algebraic Fractions - Challenging
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Question 1:
Simplify:
x
−
3
y
+
1
⋅
y
+
1
x
−
5
A
1
B
x
−
5
x
−
3
C
x
−
3
x
−
5
D
x
x
−
2
Question 2:
Simplify:
x
4
−
16
x
2
+
4
A
x
−
2
B
x
2
+
4
C
x
2
−
4
D
x
2
−
12
Question 3:
Simplify:
x
2
−
7
x
+
12
(
x
−
3
)
(
x
+
1
)
A
x
−
3
x
+
1
B
x
+
1
x
−
4
C
x
−
3
D
x
−
4
x
+
1
Question 4:
Simplify:
8
(
−
x
)
12
x
9
A
8
x
3
B
−
8
x
3
C
8
x
3
D
−
8
x
3
Question 5:
Simplify:
x
3
−
x
1
−
x
A
−
x
(
x
+
1
)
B
−
x
2
−
1
C
x
2
−
1
x
D
x
2
−
x
Question 6:
Simplify:
3
x
2
−
9
x
3
−
x
A
x
−
3
B
−
3
x
C
−
x
+
3
D
3
x
Question 7:
Simplify:
2
a
2
+
8
a
a
2
−
16
A
4
a
+
4
B
2a
a
−
4
C
2
a
+
2
D
1
a
−
2
Question 8:
Simplify:
3
x
:
x
−
1
x
+
1
⋅
x
3
A
x
-
1
x
+
1
B
x
C
x
+
1
x
-
1
D
−
x
+
1
x
−
1
Question 9:
Simplify:
2
x
2
+
x
x
+
1
A
x
3
+
2
x
2
+
1
x
2
(
x
+
1
)
B
2
+
x
x
2
+
x
+
1
C
x
3
+
2
x
+
2
x
2
(
x
+
1
)
D
x
3
+
2
x
2
+
x
+
1
x
2
+
x
+
1
Question 10:
Simplify:
x
2
+
2
x
+
1
x
+
1
+
x
2
+
x
−
2
x
+
2
A
4
x
2
+
3
x
2
+
x
−
1
(
x
+
1
)
(
x
+
2
)
B
2
x
2
+
3
x
−
1
(
x
+
1
)
(
x
+
2
)
C
3
x
3
+
5
x
2
+
3
x
(
x
+
1
)
(
x
+
2
)
D
2
x
3
+
6
x
2
+
4
x
(
x
+
1
)
(
x
+
2
)
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