Answer:
d, x
2
−
8
x
+
81
is not a perfect square trinomial.
18
is a perfect square trinomial.
Step-by-step explanation:If you square a binomial, there is always a pattern which emerges:
In
a
b
c
:
If
=
1
, then in a perfect square trinomial
(
)
Check to see if 'half of
', squared, is equal to
→
16
≠
so it is not a perfect square trinomial.
[Compare with
, where
]
This would give:
9
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Answers & Comments
Answer:
d, x
2
−
8
x
+
81
is not a perfect square trinomial.
x
2
−
18
x
+
81
is a perfect square trinomial.
Step-by-step explanation:If you square a binomial, there is always a pattern which emerges:
In
a
x
2
+
b
x
+
c
:
If
a
=
1
, then in a perfect square trinomial
c
=
(
b
2
)
2
Check to see if 'half of
b
', squared, is equal to
c
In
x
2
−
8
x
+
81
→
(
−
8
2
)
2
=
16
16
≠
81
so it is not a perfect square trinomial.
[Compare with
x
2
−
18
x
+
81
, where
(
−
18
2
)
2
=
81
]
This would give:
x
2
−
18
x
+
81
=
(
x
−
9
)
2