Factorise m²-18m+81
Answers
Answered by
5
+81
m
2
−
18
m
+
81
Rewrite
81
as
9
2
.
m
2
−
18
m
+
9
2
Check the middle term by multiplying
2
a
b
and compare this result with the middle term in the original expression.
2
a
b
=
2
⋅
m
⋅
−
9
Simplify.
2
a
b
=
−
18
m
Factor using the perfect square trinomial rule
a
2
−
2
a
b
+
b
2
=
(
a
−
b
)
2
, where
a
=
m
and
b
=
−
9
.
(
m
−
9
)
2
Answered by
2
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