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急啊!!数学题 在线等

1. x^2+3xy+2y^2+4x+5y+32. x^2-5x+33. b^2+c^2+2ab+2ac+2bc4. (x^2-2x)^2-7(x^2-2x)+125. 2x^2-xy-15y^2麻烦按序号答 再把步骤写出来 谢谢啊!!
被浏览: 0次 2023年05月06日 05:20
热门回答(5个)
游客1

1.
x^2+3xy+2y^2+4x+5y+3
=(x+y)(x+2y)+3(x+y)+(x+2y)+3
=(x+y)(x+2y+3)+(x+2y+3)
=(x+y+1)(x+2y+3)

2. x^2-5x+3
=x^2-5x+25/源凯粗4-25/4+3
=(x-5/2)^2-13/4
=(x-5/2-√孙丛13/2)(x-5/2+√13/雹镇2)

3.
a^2+b^2+c^2+2ab+2ac+2bc
=(a^2+2ab+b^2)+2c(a+b)+c^2
=(a+b)^2+2c(a+b)+c^2
=(a+b+c)^2

4. (x^2-2x)^2-7(x^2-2x)+12
=(x^2-2x-3)(x^2-2x-4)
=(x^2-2x-3)(x^2-2x+1-5)
=(x^2-2x-3)[(x-1)^2-5]
=(x-3)(x+1)(x-1-√5)(x-1+√5)

5.
2x^2-xy-15y^2
=2x(x-3y)+5y(x-3y)
=(2x+5y)(x-3y)

游客2

1.x^2+3xy+2y^2+4x+5y+3
=(x+y)(x+2y)+3(x+y)+(x+2y)+3
=(x+y)(x+2y+3)+(x+2y+3)
=(x+y+1)(x+2y+3)
2.x^2-5x+3=0两根为(5±√13)/2
因此滚耐,为(x-5/2+√大冲春13/2)(x-5/2-√13/2)
3.
a^2+b^2+c^2+2ab+2ac+2bc
=(a²判汪+2ab+b²)+2c(a+b)+c²
=(a+b)²+2c(a+b)+c²
=(a+b+c)²
4.(x^2-2x)^2-7(x^2-2x)+12
=(x^2-2x-4)(x^2-2x-3)
=(x^2-2x-4)(x-3)(x+1)
5.
2x^2-xy-15y^2
=2x(x-3y)+5y(x-3y)
=(2x+5y)(x-3y)

游客3

(x+2y+3)(x+y+1)用降元法 x为0 (2y+3)(y+1) y为0 (x+3)(x+1)

游客4

你是要求化简 还是...............

游客5

解什么呢?好像没写全吧?
化为规范型或者标准型么?