初二数学 几道因式分解题目

作者&投稿:罗映 (联系方式在网页底部的电邮联系)
求40道初二数学因式分解计算题还有答案(简单点的)~

(2x+1)(x+1)+(2x+1)(x-3)=2(x-1)(2x+1)
2ax^2-3x+2ax-3=(x+1)(2ax-3)
x(y+2)-x-y-1=(x-1)(y+1)
(x^2-3x)+(x-3)^2=(x-3)(2x-3)
9x^2-66x+121=(3x-11)^2
8-2x^2=2(2-x)(2+x)
x^4-1=(x-1)(x+1)(x^2+1)
x^2+4x-xy-2y+4=(x+2)(x-y+2)
4x^2-12x+5=(2x-1)(2x-5)
21x^2-31x-22=(21x+11)(x-2)
4x^2+4xy+y2-4x-2y-3=(2x+y-3)(2x+y+1)
9x^5-35x^3-4x=x(9x^2+1)(x+2)(x-2)

(1)-x�0�5-y�0�5=-(x�0�5+y�0�5)【不能用平方差公式因式分解】(2)x�0�5y-4y=y(x+2)(x-2)(3)-a�0�5+16=(4+a)(4-a)(4)12x�0�5-3y�0�5=3(2x+y)(2x-y)(5)(2x+y)�0�5-(x+2y)�0�5=(2x+y+x+2y)(2x+y-x-2y)=(3x+3y)(x-y)

1.(a-b)^2-4c(a-b)+4c^2
=(a-b)^2-2*(a-b)*2c+(2c)^2
=(a-b-2c)^2

2.(x-2y)-(2x+y)^2
错了吧
是不是(x-2y)^2-(2x+y)^2?
(x-2y)^2-(2x+y)^2
=[(x-2y)+(2x+y)][(x-2y)-(2x+y)]
=(x-2y+2x+y)(x-2y-2x-y)
=-(3x-y)(x+3y)

3.(a-3b)^2-4c^2n
=(a-3b)^2-(2c^n)^2
=(a-3b+2c^n)(a-3b-2c^n)

4.-2x^3n+12x^2ny^2-18x^ny^4
=-2x^n(x^2n-6x^ny^2+9y^4)
=-2x^n(x^n-3y^2)^2

1,把(a-b)看成一个整体m,那么这个式子可以看成m^2-4cm+4c^2=(m-2c)^2。再把m反带进去,得(a-b-2c)^2
2.本题题目有点问题吧。无法分解

3 把c^n看成整体,则该式子看看成a^2-b^2的样子,所以可化为(a-3b+4c^n)
(a-3b-4c^n)

4提出-2x^n后
x^2n-6x^ny^2+9y^4 可得为-2x^n(x^n-3y^2)^2

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