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Square of Difference
Reference
> Algebra: Sums and Differences of Squares and Cubes
Description
The Square of Difference Rule states that:
(
a
−
b
)
2
=
a
2
−
2
a
b
+
b
2
{(a-b)}^{2}={a}^{2}-2ab+{b}^{2}
(
a
−
b
)
2
=
a
2
−
2
a
b
+
b
2
Examples
(
x
−
y
)
2
{(x-y)}^{2}
(
x
−
y
)
2
1
Use
Square of Difference
:
(
a
−
b
)
2
=
a
2
−
2
a
b
+
b
2
{(a-b)}^{2}={a}^{2}-2ab+{b}^{2}
(
a
−
b
)
2
=
a
2
−
2
a
b
+
b
2
.
x
2
−
2
x
y
+
y
2
{x}^{2}-2xy+{y}^{2}
x
2
−
2
x
y
+
y
2
Done
x^2-2*x*y+y^2