急因式分解x^2-(m^2+n^2)x+mn(m^2-n^2)_数学解答

急因式分解x^2-(m^2+n^2)x+mn(m^2-n^2)

人气：447 ℃　时间：2020-04-15 08:40:19

解答

x²-(m²+n²)x+mn(m²-n²)
=x²-x(m²+n²)+mn(m-n)(m+n)
=[x-m(m-n)][x-n(m+n)]
=(x-m²+mn)(x-mn-n²)