write the factors (x^2-1/16y^2)
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Algebra Examples
Popular Problems Algebra Factor x^2-16y^2
x
2
−
16
y
2
x2-16y2
Rewrite
16
y
2
16y2
as
(
4
y
)
2
(4y)2
.
x
2
−
(
4
y
)
2
x2-(4y)2
Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
a2-b2=(a+b)(a-b)
where
a
=
x
a=x
and
b
=
4
y
b=4y
.
(
x
+
4
y
)
(
x
−
(
4
y
)
)
(x+4y)(x-(4y))
Multiply
4
4
by
−
1
-1
.
(
x
+
4
y
)
(
x
−
4
y
)
(x+4y)(x-4y)
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