Question

帮忙分解因式

① 3x^2+13x-10
② x^3-x^2-x+1
③ 1-x^2+4xy-4y^2
④ 计算（a-b)^2+2(a-b)(b-c)+(c-b)^2的值，其中a-c＝-1.4
麻烦带一下过程

Answer 1

① 3x^2+13x-10
=(3x-2)(x+5)

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

③ 1-x^2+4xy-4y^2
= 1-(x^2-4xy+4y^2)
= 1-(x-2y)^2
=(1-x+2y)(1+x-2y)

④ 计算（a-b)^2+2(a-b)(b-c)+(c-b)^2的值，其中a-c＝-1.4
（a-b)^2+2(a-b)(b-c)+(c-b)^2
=（a-b)^2+2(a-b)(b-c)+(b-c)^2
=（a-b+b-c)^2
=（a-c)^2
=(-1.4)^2
=1.96

Answer 2

（3x-2)(x+5)

(x+1)(x-1)^2

(1+x-2y)(1-x+2y)

1.96

Answer 3

① 3x^2+13x-10
=(3x-2)(x+5)

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

③ 1-x^2+4xy-4y^2
=1-(x-2y)^2
=(1+x-2y)(1-x+2y)

④ 计算（a-b)^2+2(a-b)(b-c)+(c-b)^2的值，其中a-c＝-1.4
(a-b)^2+2(a-b)(b-c)+(c-b)^2
=(a-b)^2-2(a-b)(c-b)+(c-b)^2
=(a-b-c+b)^2
=(a-c)^2
=(-1.4)^2
=1.96

Answer 4

1.（3x+2）（x-5）
2、(x-1)^2(x+1)
3、1-(x-2y)^2
4、a-b)^2+2(a-b)(b-c)+(c-b)^2=(a-c)^2=1.96