雨水节气介绍:分解因式.

来源:百度文库 编辑:高考问答 时间:2024/04/29 00:31:15
1.(x+2y)的2次方-x的2次方-2xy
2.(a+1)的2次方+(a的2次方+a)的2次方
3.(a-2b)(2a-3b)-5a(2b-a)(3b-2a)

1.

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

2.

(a + 1)^2 + (a^2 + a)^2
= (a + 1)^2 + a^2(a + 1)^2
= (a + 1)^2*(1 + a^2)

3.

(a - 2b)(2a - 3b) - 5a(2b - a)(3b - 2a)
= (a - 2b)(2a - 3b) - 5a(a - 2b)(2a - 3b)
= (a - 2b)(2a - 3b)(1 - 5a)

(x+2y)^2 - x^2 -2xy
= (x+2y)^2 - x(x + 2y)
= (x+2y)(x + 2y - x)
= (x+2y)*2y

(a+1)^2 +(a^2 +a)^2
=(a+1)^2 + a^2(a+1)^2
= (a+1)^2*(1+a^2)
(a-2b)(2a-3b)-5a(2b-a)(3b-2a)
=(a-2b)(2a-3b)-5a(a-2b)(2a-3b)
=(a-2b)(2a-3b)(1-5a)

1=(X+2Y+X)(X+2Y-X)-2XY=……自己写
2=(a+1)^2+a^2*(a+1)^2=(a+1)^2*(a^2+1)
3)-(a-2b)(2a-3b)5a=(a-2b)(2a-3b)(1-5a)