Question

已知m的平方-mn=21,mn-n的平方=负12，那么m平方-2mn=n平方=多少

Answer 1

m²-mn=21
mn-n²=-12
则(m²-mn)-(mn-n²)=21-(-12)
m²-mn-mn+n²=21+12
m²-2mn+n²=33

Answer 2

m的平方-mn=21 (1)
mn-n的平方=-12 (2)
(1)+(2)得
m^2-mn+mn-n^2=21-12
m^2-n^2=9
(1)-(2)得
m^2-mn-(mn-n^2)=21-(-12)
m^2-2mn+n^2=33