Test:
Algebraic expressions II - Challenging
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Question 1:
Divide
x
3
-
3
x
2
+
4
x
-
2
by
x
-
1
A
x
2
-
x
+
2
B
x
2
-
2
x
+
2
C
x
2
+
2
x
+
2
D
x
2
-
x
Question 2:
Factorise:
x
3
-
11
x
2
+
38
x
-
40
A
(
x
-
2
)
(
x
-
3
)
(
x
-
5
)
B
(
x
-
2
)
(
x
-
4
)
(
x
-
5
)
C
(
x
-
2
)
(
x
2
-
9
x
+
20
)
D
(
x
-
2
)
(
x
-
5
)
2
Question 3:
Simplify
1
-
m
1
+
1
1
-
1
m
and find value when
m
=
3
A
0
B
1
C
1
5
D
-
1
5
Question 4:
Simplify expression and find its domain:
x
2
-
4
x
+
4
-
x
2
A
2
B
-
2
C
-
2
x
+
2
D
{
2
,
x
∈
(
-
∞
;
0
)
-
2
x
+
2
,
x
∈
[
0
;
2
)
-
2
,
x
∈
[
2
;
+
∞
)
Question 5:
Divide
x
3
-
11
x
2
+
33
x
-
20
by
x
2
-
7
x
+
5
A
x
-
4
B
x
-
5
C
x
-
3
D
x
2
-
2
x
+
5
Question 6:
Find value of expression
9
y
2
+
x
2
x
2
-
x
y
if
x
y
=
3
A
3
B
2
C
0
D
1
Question 7:
Factorise:
(
x
2
+
x
+
1
)
(
x
2
+
x
+
3
)
-
20
A
(
x
2
+
x
+
7
)
(
x
2
+
x
-
2
)
B
(
x
2
+
x
+
7
)
(
x
+
2
)
C
(
x
2
+
x
+
7
)
(
x
+
2
)
(
x
-
1
)
D
(
x
2
+
x
+
7
)
(
x
-
1
)
Question 8:
Simplify expression
(
y
16
x
-
x
3
-
1
x
2
+
4
x
+
4
x
2
y
-
16
y
)
÷
y
2
-
8
y
+
16
x
3
y
-
16
x
y
and find value if
x
=
0
,
y
=
5
A
-
5
B
-
2
C
0
D
1
Question 9:
Simplify:
(
x
2
-
y
2
)
÷
(
x
-
1
-
y
-
1
)
A
(
x
+
y
)
x
y
B
x
y
(
x
+
y
)
C
x
y
(
x
+
y
)
D
-
x
y
(
x
+
y
)
Question 10:
Simplify:
(
x
+
1
3
)
(
3
+
1
x
)
-
1
A
1
B
x
3
C
3
x
D
3
x
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