十字相乘,求解答! （b²-5b）²-2（b²-5b）-24 a的4次方-8a²（a-1）+16（a-1）²（m²-3m）²-14（m²-3m）+40（b²-5b）²-10（b²-5b）-56（b²-5b）²-2（b²-5b）-24 a

十字相乘,求解答! （b²-5b）²-2（b²-5b）-24 a的4次方-8a²（a-1）+16（a-1）²（m²-3m）²-14（m²-3m）+40（b²-5b）²-10（b²-5b）-56（b²-5b）²-2（b²-5b）-24 a
十字相乘,求解答! （b²-5b）²-2（b²-5b）-24 a的4次方-8a²（a-1）+16（a-1）²
（m²-3m）²-14（m²-3m）+40
（b²-5b）²-10（b²-5b）-56
（b²-5b）²-2（b²-5b）-24
a的4次方-8a²（a-1）+16（a-1）²

十字相乘,求解答! （b²-5b）²-2（b²-5b）-24 a的4次方-8a²（a-1）+16（a-1）²（m²-3m）²-14（m²-3m）+40（b²-5b）²-10（b²-5b）-56（b²-5b）²-2（b²-5b）-24 a
解
(m²-3m)-14(m²-3m)+40
=[(m²-3m)-10][(m²-3m)-4]
=(m²-3m-10)(m²-3m-4)
=(m-5)(m+2)(m-4)(m+1)
(b²-5b)²-10(b²-5b)-56
=[(b²-5b)-14][(b²-5b)+4]
=(b²-5b-14)(b²-5b+4)
=(b-7)(b+2)(b-4)(b-1)
(b²-5b)²-2(b²-5b)-24
=[(b²-5b)-6][(b²-5b)+4]
=(b²-5b-6)(b²-5b+4)
=(b-6)(a+1)(a-4)(a-1)
a^4-8a²(a-1)+16(a-1)²
=[a²-4(a-1)]²
=(a²-4a+4)²
=[(a-2)²]²
=(a-2)^4