问题标题:
麻烦各位了.数学题(1)12a³b²-9a²+3ab(2)121x²-144y²(3)4(a-b)²-(x-y)²(4)(x-2)²+10(x-2)+25(5)(a²-2ab+b)²-4(6)16x²-4y²(7)m²(x-y)+n²(y-x)
问题描述:

麻烦各位了.数学题

(1)12a³b²-9a²+3ab

(2)121x²-144y²

(3)4(a-b)²-(x-y)²

(4)(x-2)²+10(x-2)+25

(5)(a²-2ab+b)²-4

(6)16x²-4y²

(7)m²(x-y)+n²(y-x)

(8)(x²+y²)²-4x²y²

(9)(x²+2x)²+2(x²+2x)+1

(10)(xy+1)(x+1)(-y+1)+xy

(11)2x²+2x+2/1

(12)(a-b)(3a+b)²+(a+3b)²(b-a)4x²-9y²=31的正整数解

谢谢了,要过程==

化简

金建华回答:
  这干什么的,化简?   (1)12a³b²-9a²+3ab=   (2)121x²-144y²=(11x+12y)(11x-12y)   (3)4(a-b)²-(x-y)²=(2a-2b+x-y)(2a-2b-x+y)   4)(x-2)²+10(x-2)+25=(x-2+5)²=(x+3)²   (5)(a²-2ab+b)²-4=(a²-2ab+b+2)(a²-2ab+b-2)   (6)16x²-4y²=(4x+2y)(4x-2y)   (7)m²(x-y)+n²(y-x)=(x-y)(m²-n²)   (8)(x²+y²)²-4x²y²=(x²+y²+2xy)(x²+y²-2xy)=(x+y)²(x-y)²   (9)(x²+2x)²+2(x²+2x)+1=(x²+2x+1)²=(x+1)²   (10)(xy+1)(x+1)(-y+1)+xy=   (11)2x²+2x+2/1=2(x²+x+1/4)=2(x+1/2)²   (12)(a-b)(3a+b)²+(a+3b)²(b-a)4x²-9y²=31的正整数解
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