Test:
Algebraic expressions I - Ambitious
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Question 1:
Expand and simplify:
4
x
y
3
(
x
y
-
5
y
2
)
=
...
A
4
x
2
y
4
-
5
x
y
5
B
4
x
2
y
2
-
20
x
y
5
C
4
x
2
y
4
-
20
x
y
4
D
4
x
2
y
4
-
20
x
y
5
Question 2:
Expand and simplify:
(
x
2
-
6
)
(
2
x
-
7
)
=
...
A
2
x
3
-
7
x
2
+
42
B
2
x
3
-
19
x
2
+
42
C
2
x
3
-
7
x
-
12
x
+
42
D
2
x
3
-
7
x
2
-
12
x
+
42
Question 3:
Simplify:
9
x
2
-
y
2
3
x
+
y
(
3
x
-
y
)
=
...
A
9
x
2
-
6
x
y
+
y
2
B
1
C
3
x
+
y
D
3
x
-
y
Question 4:
Find remainder of division
x
3
-
4
x
2
+
x
+
7
by
x
-
1
A
5
B
0
C
4
D
1
Question 5:
Find remainder of division
x
3
+
6
x
2
+
x
-
4
by
x
+
1
A
2
B
5
C
0
D
1
Question 6:
Factorise:
-
6
x
3
+
x
2
+
6
x
-
1
A
(
6
x
-
1
)
(
6
x
+
1
)
(
1
-
x
)
B
(
6
x
-
1
)
(
1
-
x
)
(
1
+
x
)
C
(
6
x
-
1
)
(
1
-
x
2
)
D
(
6
x
-
1
)
(
1
-
x
)
2
Question 7:
Factorise
x
4
-
2
x
2
+
1
A
(
x
-
1
)
2
(
x
+
1
)
2
B
(
x
-
1
)
2
C
(
x
2
-
1
)
2
D
(
x
-
1
)
(
x
+
1
)
Question 8:
Simplify:
(
x
-
4
)
(
x
2
-
5
x
+
4
)
x
2
-
8
x
+
16
A
1
B
x
-
4
C
x
-
1
D
x
-
1
x
-
4
Question 9:
Simplify:
16
(
x
3
-
1
)
12
(
x
2
+
x
+
1
)
A
4
3
(
x
3
-
1
)
B
4
3
(
x
2
+
x
+
1
)
C
4
3
(
x
-
1
)
D
16
12
(
x
-
1
)
Question 10:
Simplify:
(
x
-
y
)
2
3
÷
(
x
-
y
)
1
6
A
1
B
(
x
-
y
)
1
6
C
(
x
-
y
)
1
2
D
(
x
-
y
)
2
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