分解因式:a(2x-y)-b(y-2x)

来源:百度知道 编辑:UC知道 时间:2024/05/26 13:14:06
3(a-b)的平方-4(b-a)
5x(a+b-c)-10y(a+b-c)
5m的平方(a-b)-10m(a-b)的平方
x的四次方-x的平方
b的平方(a-4)+(4-a)
a的三次方+1
y的四次方-8y

3(a-b)^2-4(b-a)=3(a-b)(a-b)+4(a-b)=(3a-3b)(a-b)+4(a-b)=(3a-3b+4)(a-b)

5x(a+b-c)-10y(a+b-c)
=(5x-10y)(a+b-c)

5m^2(a-b)-10m(a-b)^2
= 5m^2(a-b)-(10ma-10mb)(a-b)
= (5m^2-10ma+10mb)(a-b)
= m(5m-10a+10b)(a-b)

x^4-x^2
=(x^2)^2-x^2
=(x^2+x)(x^2-x)

b^2(a-4)+(4-a)
= b^2(a-4)-(a-4)
= (b^2-1)(a-4)
= (b+1)(b-1)(a-4)

a^3+1
= (a+1)^3-3a^2-3a
= (a+1)(a^2+2a+1)-3a(a+1)
= (a+1)(a^2+2a+1-3a)
= (a+1)(a^2-a+1)

y^4-8y
= y^3*y-8y
= y(y^3-8)
= y(y^3-2^3)
= y(y-2)(y^2+2y+4)

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

1.
a(2x-y)-b(y-2x)
=a(2x-y)+b(2x-y)
=(a+b)(2x-y)

2.
3(a-b)(a-b)-4(b-a)
= 3(b-a)(b-a)-4(b-a)
=(b-a)(3b-3a-4)

....
下面的题目同样的
提取公因式
或添加+,-
就能做了

1.(a-b)*(3a-3b+4)
2.5*(a+b+c)(x-2y)
3.5*m*(a-b)(m-2a+2b)
4.x^2*(x+1)*(