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Mathematics
Mathematics
Problem
Consider the expression
H
=
a
−
2
−
2
a
−
1
+
1
,
H = a^{-2} - 2a^{-1} + 1,
H
=
a
−
2
−
2
a
−
1
+
1
,
where
a
≠
0
a \neq 0
a
=
0
. a. (i) Rewrite each term of
H
H
H
using positive exponents only. b. (ii) Show that
H
H
H
can be factorised into a perfect square. c. (iii) Using the factorised form, evaluate
H
H
H
when
a
=
4
a = 4
a
=
4
.
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