初一数学难题
已知m^2-mn=21,mn-n^2=-12,求代数式m^2-n^2与2mn+n^2的值
(要过程)
参考答案:m^2-mn+mn-n^2=21-12
即m^2-n^2=9
m^2-mn-mn+n^2=21+12
即m^2-2mn+n^2=33
即-2mn+n^2=33-m^2
即2mn-n^2=m^2-33
即2mn+n^2=m^2-33+2n^2
已知m^2-mn=21,mn-n^2=-12,求代数式m^2-n^2与2mn+n^2的值
(要过程)
参考答案:m^2-mn+mn-n^2=21-12
即m^2-n^2=9
m^2-mn-mn+n^2=21+12
即m^2-2mn+n^2=33
即-2mn+n^2=33-m^2
即2mn-n^2=m^2-33
即2mn+n^2=m^2-33+2n^2