81x2 – 72xy + ________ is a perfect square.
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Answered by
0
Answer:
81x2 – 72xy + ________ is a perfect square.
Answered by
6
Answer:
A constant solution would be
7
Another solution is
18
x
Explanation:
81
x
2
−
72
x
+
9
+
7
=
81
x
2
−
72
x
+
16
=
(
9
x
−
4
)
2
81
x
2
−
72
x
+
9
+
18
x
=
81
x
2
−
54
x
+
9
=
(
9
x
−
3
)
2
In general,
(
a
−
b
)
2
=
a
2
−
2
a
b
+
b
2
In the above solutions, we choose to change the constant term to match the
−
2
a
b
term or the
−
2
a
b
term to match the
b
2
term.
Step-by-step explanation:
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Attachments:
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