数学题目、分解因式。急的卟的了

来源：百度知道 编辑：UC知道 时间：2024/05/16 14:54:39
81(3x-5y)+16(5y-3x)

a^2(x-y)+b^2(y-x)

(a-b)(2x+y)^2+(b-a)(x-y)^2

2(x-1)^4-8(x-1)^2

(a-b)^2-68x^2(b-a)

过程和答案。

快点哈

81(3x-5y)+16(5y-3x)
=81(3x-5y)-16(3x-5y)
=(81-16)(3x-5y)
=65(3x-5y)

a^2(x-y)+b^2(y-x)
=(a^2-b^2)(x-y)
=(a-b)(a+b)(x-y)

(a-b)(2x+y)^2+(b-a)(x-y)^2
=(a-b)[(2x+y)^2-(x-y)^2]
=(a-b)(2x+y+x-y)(2x+y-x+y)
=3x(a-b)(x+2y)

2(x-1)^4-8(x-1)^2
=2(x-1)^2*[(x-1)^2-4]
=2(x-1)^2*(x-3)(x+1)
=2(x-3)(x+1)*(x-1)^2

(a-b)^2-68x^2(b-a)
=(a-b)[(a-b)+68x^2]
=(a-b)(a-b+68x^2)

81(3x-5y)+16(5y-3x)=(3x-5y)(81-16)=65(3x-5y)

a^2(x-y)+b^2(y-x) =(x-y)(a^2-b^2)=(x-y)(a+b)(a-b)

(a-b)(2x+y)^2+(b-a)(x-y)^2 =(a-b)[(2x+y)^2-(x-y)^2]
=(a-b)(2x+y+x-y)[2x+y-(x-y)]=3x(a-b)(x+2y)

2(x-1)^4-8(x-1)^2=2(x-1)^2[(x-1)^2-4]=2(x+1)(x-1)(x-1+2)(x-1-2)
=2(x+1)(x+1)(x-1)(x-3)

(a-b)^2-68x^2(b-a)=(a-b)(a-b+68x^2)