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Difference of Squares
Reference
> Algebra: Sums and Differences of Squares and Cubes
Description
The Difference of Squares Rule states that:
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
{a}^{2}-{b}^{2}=(a+b)(a-b)
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
Examples
x
2
−
4
{x}^{2}-4
x
2
−
4
1
Rewrite it in the form
a
2
−
b
2
{a}^{2}-{b}^{2}
a
2
−
b
2
, where
a
=
x
a=x
a
=
x
and
b
=
2
b=2
b
=
2
.
x
2
−
2
2
{x}^{2}-{2}^{2}
x
2
−
2
2
2
Use
Difference of Squares
:
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
{a}^{2}-{b}^{2}=(a+b)(a-b)
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
.
(
x
+
2
)
(
x
−
2
)
(x+2)(x-2)
(
x
+
2
)
(
x
−
2
)
Done
(x+2)*(x-2)
English
Difference of Squares