分解因式:1.x^2-7x+10 2.(3x+2y)^2(a-b)+(2x-3y)^2(b-a)分解因式:1.x^2-7x+102.(3x+2y)^2(a-b)+(2x-3y)^2(b-a)

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/06 01:50:31

分解因式:1.x^2-7x+10 2.(3x+2y)^2(a-b)+(2x-3y)^2(b-a)分解因式:1.x^2-7x+102.(3x+2y)^2(a-b)+(2x-3y)^2(b-a)
分解因式:1.x^2-7x+10 2.(3x+2y)^2(a-b)+(2x-3y)^2(b-a)
分解因式:1.x^2-7x+10
2.(3x+2y)^2(a-b)+(2x-3y)^2(b-a)

分解因式:1.x^2-7x+10 2.(3x+2y)^2(a-b)+(2x-3y)^2(b-a)分解因式:1.x^2-7x+102.(3x+2y)^2(a-b)+(2x-3y)^2(b-a)
(1)
=(x^2-2x)-(5x-10)
=x(x-2)-5(x-2)
=(x-2)(x-5)
(2)
=(3x+2y)^2(a-b)-(2x-3y)^2(a-b)
=(a-b)[(3x+2y)^2-(2x-3y)^2]
=(a-b)[(3x+2y)+(2x-3y)]
[(3x+2y)-(2x-3y)]
=(a-b)(5x-y)(x+5y)