帮我答下下面分解因式

来源:百度知道 编辑:UC知道 时间:2024/05/17 08:45:47
1.-2x⑶+6x⑵
2.5xy-x⑵y+xy⑵
3.-6x⑶y⑷-8x⑵y⑸+16xy⑹
4.2a(a-b)+4a(2a+3b)
5.a(a+b)(a-b)-a(a+b)⑵
6.x(x-y)⑶+y(y-x)⑶

1.-2x⑶+6x⑵
=-2x^2(x-3)

2.5xy-x⑵y+xy⑵
=xy(5-x+y)

3.-6x⑶y⑷-8x⑵y⑸+16xy⑹
=-2xy^4(3x^2+4xy-8y^2)

4.2a(a-b)+4a(2a+3b)
=2a[a-b+2(2a+3b)]
=2a(4a+5b)

5.a(a+b)(a-b)-a(a+b)⑵
=a(a+b)(a-b-a-b)
=-2ab(a+b)

6.x(x-y)⑶+y(y-x)⑶
=(x-y)^3(x-y)

=(x-y)^4

解:1.-2x⑶+6x⑵
=-2X^2(X-3)
解:2.5xy-x⑵y+xy⑵
=-XY(X-2.5-Y)
解:3.-6x⑶y⑷-8x⑵y⑸+16xy⑹
=-2XY^4(3X^2+4XY-8Y^2)
解:4.2a(a-b)+4a(2a+3b)
=2a(2.1a-2.1b+4a+6b)
=2a(6.1a+3.9b)
解:5.a(a+b)(a-b)-a(a+b)⑵
=a(a+b)(a-b-a-b)
=-2ab(a+b)
解:6.x(x-y)⑶+y(y-x)⑶
=x(x-y)^3-y(x-y)^3
=(x-y)^3*(x-y)
=(x-y)^4
注:^3表示三次方,^2表示平方