Squaring a Binomial
Squaring a Binomial
The square of a sum is the sum of the squares plus twice the cross term. Here is the general case, some special cases, and squaring a trinomial:
2
(a+b)
2
a
2
b
2
(a+1)
2
a
(=+4a+4
2
a+2)
2
a
2
(a-b)
2
a
2
b
2
(+)
2
a
2
b
4
a
2
a
2
b
4
b
2
(a+b+c)
2
a
2
(b+c)
2
a
2
b
2
c
2
a
2
b
2
c