【初二下学期分解因式[数学]1.xy(x-y)-x(x-y)²2.-12xy+x²+36y²3.a²-8ab+16ab4.(a²+b²)²-4a²b²5.2(a-1)²-12(a-1)+186.3x²+12xy+12y²】
更新时间:2025-04-04 23:36:59
专题:数学
问题描述:
初二下学期分解因式[数学]
1.xy(x-y)-x(x-y)²
2.-12xy+x²+36y²
3.a²-8ab+16ab
4.(a²+b²)²-4a²b²
5.2(a-1)²-12(a-1)+18
6.3x²+12xy+12y²
范九伦回答:
1.x(x-y)(y-x+y)=x(x-y)(2y-x)
2.(x-6y)^2
3.a^2+8ab=a(a+8b)
4.(a^2+b^2+2ab)(a^2+b^2-2ab)=(a+b)^2(a-b)^2=(a^2-b^2)^2
5.2[(a-1)^2-6(a-1)+9]=2[(a-1)-3]^2=2(a-4)^2
6.3(x^2+4xy+4y^2)=3(x+2y)^2