无锡莫泰酒店小姐:因式分解练习题

(1)-6ax^3y+8x^2y^2-2x^2y
=2x^2y(-3ax+4y-1)

(2)3a^2(x-y)^3-4b^2(y-x)^2
=(x-y)^2(3a^2-4b^2)
=(x-y)^2(3^0.5a+2b)(3^0.5a-2b)

(3)(x+y)(m-a)-3y(a-m)^2+(a-m)^3
=(a-m)[(a-m)^2-3y(a-m)-(x-y)]
此题是不是有错,按照道理后面这一项还可以再分解的,是关于(a-m)的分解式

(4)8x(a-1)-4(1-a)
=4(a-1)(2x+1)

(5)m(1-a)+mn(1-a)+1-a
=(1-a)(m+mn+1)
此题是不是有错,按照道理后面这一项还可以再分解的
例如:m+n+mn+1=(m+1)(n+1)

(1)16x4-64y4
=16(x^4-4y^4)
=16(x^2+2y^2)(x-2^0.5y)(x+2^0.5y)

(2)16x6-1/4
=1/4(64x^6-1)
=1/4(8x^3-1)(8x^3+1)
=1/4(2x-1)(4x^2+2x+1)(2x+1)(4x^2-2x+1)

(3)(a6+b4)2-4a6b4
=a^12+2a^6b^4+b^8-4a^6b^4
=a^12-2a^6b^4+b^8
=(a^6-b^4)^2
=(a^3+b^2)^2(a^3-b^2)^2

(5)-2m8+512
=-2(m^8-256)
=-2(m^4-16)(m^4+16)
=-2(m^2-4)(m^2+4)(m^4+16)
=-2(m-2)(m+2)(m^2+4)(m^4+16)

(6) (x+y)3-64
=(x+y-4)(x^2+2xy+y^2+4x+4y+16)

或m3-64n3
=(m-4n)(m^2+4mn+16n^2)

贪心不足蛇吞象

1.-2y(9a-8y+2)
2.(x+y)2(3a2x-3a2y-4b2)
4.4(a-1)(2x+1)
5.(1-a)(m+mn+1)
准确率不怎么高啊！！！