Question

The area of a rectangle is (16x^2 - 9y^2) square units

Answer 1

the area of a rectangle is (16x^2 - 9y^2 ) sq units

Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
a
2
-
b
2
=
(
a
+
b
)
(
a
-
b
)
where
a
=
4
x
a
=
4
x
and
b
=
3
y
b
=
3
y
.
(
4
x
+
3
y
)
(
4
x
−
3
y
)