Question

12(m-n)²-11(m²-n²)+18(m+n)²,因式分解，不会求解

速度帮我解决啊，那个18是10，我写错了

Answer 1

12(m-n)²-11(m²-n²)+10(m+n)²
=12(m²-2mn+n²-11(m²-n²)+10(m²+2mn+n)²
=12m²-24mn+12n²-11m²+11n²+10m²+20mn+10n²
=12m²-11m²+10m²-24mn+20mn+12n²+11n²+10n²
=11m²-4mn+33n²

12(m-n)²-11(m²-n²)+18(m+n)²
=12(m²-2mn+n²-11(m²-n²)+18(m²+2mn+n)²
=12m²-24mn+12n²-11m²+11n²+18m²+36mn+18n²
=12m²-11m²+18m²-24mn+36mn+12n²+11n²+18n²
=19m²+12mn+41n²
无论是18还是10，在实数范围内均无法分解。

Answer 2

12m2-24mn+12n2-11m2+11n2+10m2+20mn+10n2
=11m2-4mn+33n2