电梯楼层显示不对:数学问题(请写清详细过程)

来源:百度文库 编辑:高校问答 时间:2024/05/05 09:54:39
计算:(3x-y)(3x+y)(9x^2+y^2)
计算:399又3分之1乘以400又3分之2
阅读理解:
先阅读下列解题过程:
因式分解x^2+2xy-8y^2+2x+14y-3
因为x^2+2xy-8y^2=(x+4y)(x-2y)
(x+4y) -1
(x-2y) 3
3(x+4y)-1(x-2y)=2x+14y
所以x^2+2xy-8y^2+2x+14y-3=(x+4y-1)(x-2y+3)
完成下列因式分解:x^2+xy-2y^2+3x+3y+2

1.
(3x-y)(3x+y)(9x^2+y^2)
=(9x^2-y^2)(9x^2+y^2)
=81x^4-y^4

2.
399又3分之1*400又3分之2
=(400-2/3)*(400+2/3)
=400^2-(2/3)^2
=160000-4/9
=159999又9分之5

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