因式分解:(1)m²+7mn-18n²-5m+43n-24(2)a^3b-ab^3+a²+b²+1
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![因式分解:(1)m²+7mn-18n²-5m+43n-24(2)a^3b-ab^3+a²+b²+1](/uploads/image/z/8949111-15-1.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%EF%BC%9A%EF%BC%881%EF%BC%89m%26%23178%3B%2B7mn-18n%26%23178%3B-5m%2B43n-24%EF%BC%882%EF%BC%89a%5E3b-ab%5E3%2Ba%26%23178%3B%2Bb%26%23178%3B%2B1)
因式分解:(1)m²+7mn-18n²-5m+43n-24(2)a^3b-ab^3+a²+b²+1
因式分解:(1)m²+7mn-18n²-5m+43n-24(2)a^3b-ab^3+a²+b²+1
因式分解:(1)m²+7mn-18n²-5m+43n-24(2)a^3b-ab^3+a²+b²+1
m²+7mn-18n²-5m+43n-24
=m²-2mn+9mn-18n²+3m-8m+27n+16n-24
=(m²-2mn+3m)+(9mn-18n²+27n)-(8m-16n+24)
=m(m-2n+3)+9n(m-2n+3)-8(m-2n+3)
=(m+9n-8)(m-2n+3)
a^3b-ab^3+a²+b²+1
=a³b-a²b²+a²b²+ab-ab-ab³+a²+b²+1
=a³b-a²b²+ab+a²b²-ab³+b²+a²-ab+1
=ab(a²-ab+1)+b^2(a²ab+1)+1(a²-ab+1)
=(ab+b²+1)(a²-ab-1)