1. Evaluate 81y^2÷49
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Answer:
Rewrite
81
y
2
as
(
9
y
)
2
.
(
9
y
)
2
−
49
Rewrite
49
as
7
2
.
(
9
y
)
2
−
7
2
Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
9
y
and
b
=
7
.
(
9
y
+
7
)
(
9
y
−
7
)
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