Factorise the following algebraic expression by using suitable identity t²+18t+81
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Algebra Examples
Popular Problems Algebra Factor t^2+18t+81
t
2
+
18
t
+
81
Rewrite
81
as
9
2
.
t
2
+
18
t
+
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
⋅
t
⋅
9
Simplify.
2
a
b
=
18
t
Factor using the perfect square trinomial rule
a
2
+
2
a
b
+
b
2
=
(
a
+
b
)
2
, where
a
=
t
and
b
=
9
.
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