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Square of Sum
Reference
> Algebra: Sums and Differences of Squares and Cubes
Description
The Square of Sum 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
2
+
2
x
y
+
y
2
{x}^{2}+2xy+{y}^{2}
x
2
+
2
x
y
+
y
2
1
Use
Square of Sum
:
(
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
+
y
)
2
{(x+y)}^{2}
(
x
+
y
)
2
Done
(x+y)^2