急因式分解x^2-(m^2+n^2)x+mn(m^2-n^2)

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急因式分解x^2-(m^2+n^2)x+mn(m^2-n^2)

急因式分解x^2-(m^2+n^2)x+mn(m^2-n^2)
急因式分解x^2-(m^2+n^2)x+mn(m^2-n^2)

急因式分解x^2-(m^2+n^2)x+mn(m^2-n^2)
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)

(m^2 - m n - x) (m n + n^2 - x)

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)