If we know (a + b) &# 178; = m, (a-b) &# 178; = n, then ab=_____

If we know (a + b) &# 178; = m, (a-b) &# 178; = n, then ab=_____

A:
(a+b)²=m>=0
(a-b)²=n>=0
The result of subtracting the two formulas is as follows:
4ab=m-n
So: ab = (m-n) / 4
2014²-2013×2015
=2014²-(2014-1)×(2014+1)
=2014²-(2014²-1)
=1
Hope to solve your problem