因式分解x y 2 3x 2y 2 9 2a 3b 2 25 3a b 2 a 3 4a 2b 4ab 2(每道题要过程,谢谢)

2021-08-26 18:33:57 字数 1090 阅读 4950

1楼:宇文仙

①(x+y)-(3x-2y)

=[(x+y)+(3x-2y)][(x+y)-(3x-2y)]=(4x-y)(-2x+3y)

②9(2a+3b)-25(3a-b)

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

=(21a+4b)(-9a+14b)

③a+4ab+4ab

=a(a+4ab+4b)

=a(a+2b)

如果不懂,请hi我,祝学习愉快!

2楼:匿名用户

① (x+y)^2-(3x-2y)^2

=x^2+2xy+y^2-(9x^2-12xy+4y^2)=-8x^2+14xy-3y^2

=-(8x^2-14xy+3y^2)

=-(2x-3y)(4x-y)

②9(2a+3b)^2-25(3a-b)^2=9(4a^2+12ab+9b^2)-25(9a^2-6ab+b^2)

=36a^2+108ab+81b^2-225a^2+150ab-25b^2

=-189a^2+258ab+56b^2

=-(189a^2-258ab-56b^2)=-(9a-14b)(21a+4b)

③a^3+4a^2b+4ab^2

=a*(a^2+4ab+4b^2)

=a*(a+2b)^2

祝你开心!希望能帮到你,如果不懂,请追问,祝学习进步!o(∩_∩)o

3楼:匿名用户

1、原式=[(x+y)-(3x-2y)]*[(x+y)+(3x-2y)]=(3y-2x)(4x-y)

2、原式=[3(2a+3b)-5(3a-b)]*[3(2a+3b)+5(3a-b)]=(14b-9a)(21a+4b)

3、原式=a(a+4ab+4b)=a(a+2b)祝你开心!希望能帮到你,如果不懂,请追问,祝学习进步!o(∩_∩)o

4楼:小丹丹

a^3-4a^2b+4ab^2 =a(a^2-4ab+4b^2)=a(a-2b)^2 2:4y^2-(2z-x)^2=(2y+2z-x)(2y-2z+x) 3.:4x^2-y^2