Algebraic Manipulations Worksheet With Answer Key Page 5
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2
3
4
5
6
71 − 59
93. Express as a single fraction in its simplest form
2
6
8
+
+
−
+
−
−
2
2
2
x
7
x
12
x
3
x
x
4
x
1
1
−
94. (a) Express
as a single fraction.
+
n n
1
1
+ +
1
1
+ +
1
(b) Hence or otherwise, find
...
2
6
12
90
95. Express as a single fraction in its simplest form
2
1
+
(
)(
)
−
−
+
2
a
1
1 2
a a
2
−
x y
5
+
=
=
k > .
2
2
96. If
x
y
xy
, and
k
, where
0
+
2
x y
(
)
+
2
2
Expand
x
y
. Hence, find k.
2
+
−
97. Factorise completely
6
a
5
a
6
+ .
2
98. (a) Factorise
n
n
(b) Hence, prove that if n is a positive integer, then
2
+
the integer
(
n
n
)
is always even.
−
1 2
99. Factorise completely
2
a
2
+
+
2
100. If
9
x
30
x k
is a perfect square, state the
value of k.
1.6
algebraic manipulation
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