几个初2的因式分解

来源:百度知道 编辑:UC知道 时间:2024/06/01 06:24:53
①-(x+2)^2+16(x-1)^2②-4x^n+2+12x^n+1-9x^n③(x+y)^2+10(x^2-y^2)④(x^2-6x)(x^2-6x+18)+81⑤14abx-8ab^2+2ax⑥x^2-y^2+y-0.25⑦2x-2y-x^2+y^2.我才初1这是我哥的题
要有过程详写追+分!

①-(x+2)^2+16(x-1)^2
=[4(x-1)-(x+2)][4(x-1)+(x+2)]
=(3x-6)(5x-2)
=3(x-2)(5x-2);

②-4x^(n+2)+12x^(n+1)-9x^n
=-x^n*(4x^2-12x+9)
=-x^n*(2x-3)^2;

③(x+y)^2+10(x^2-y^2)
=(x+y)^2+10(x+y)(x-y)
=(x+y)[(x+y)+10(x-y)]
=(x+y)(11x-9y);

④(x^2-6x)(x^2-6x+18)+81
=(x^2-6x)^2+18(x^2-6x)+81
=[(x^2-6x)+9]^2
=[(x-3)^2]^2
=(x-3)^4;

⑤14abx-8ab^2+2ax
=2a(7bx-4b^2+x);

⑥x^2-y^2+y-0.25
=x^2-(y^2-y+0.25)
=x^2-(y-0.5)^2
=[x-(y-0.5)][x+(y-0.5)]
=(x-y+0.5)(x+y-0.5);

⑦2x-2y-x^2+y^2
=2(x-y)-(x^2-y^2)
=2(x-y)-(x-y)(x+y)
=(x-y)[2-(x+y)]
=(x-y)(2-x-y).

其实做因式分解是我的强项,只因您的题目太密,看起来有点眼花,难以专心计算,希望您能把题目隔开,谢谢!