电子课本网 第21页

第21页

信息发布者:
​$x = 4$​

​$(2a + b)(a + 2b)=2a^2+5ab + 2b^2$​

120
​$=-4x^2-4x + 3x + 3$​
​$ =-4x^2-x + 3$​
​$=a^3+a^2b+ab^2-a^2b - ab^2-b^3$​
​$=a^3-b^3$​
​$=\frac {(5x+2)(x-2)}{18}×(-x+3)$​
​$=\frac {5x^2-10x+2x-4}{18}×(-x+3)$​
​$=(\frac {5}{18}x^2-\frac {4}{9}x-\frac {2}{9})×(-x+3)$​
​$=-\frac {5}{18}x^3+\frac {4}{9}x^2+\frac {2}{9}x+\frac {5}{6}x^2-\frac {4}{3}x-\frac {2}{3}$​
​$=-\frac {5}{18}x^3+\frac {23}{18}x^2-\frac {10}{9}x-\frac {2}{3}$​
​$=2a^2+a-4a-2-(a^2+a-5a-5)$​
​$=2a^2-3a - 2-(a^2-4a - 5)$​
​$ =2a^2-3a - 2 - a^2+4a + 5$​
​$ =a^2+a + 3$​
解:长方形地块的面积为​$(3a + b)(2a + b)$​
​$ =3a×2a+3a×b+b×2a+b×b$​
​$ =6a^2+3ab + 2ab + b^2=6a^2+5ab + b^2$​
​$ $​喷泉的面积为​$(a + b)(a + b)=a^2+2ab + b^2$​
​$ $​绿化面积​$S=(6a^2+5ab + b^2)-(a^2+2ab + b^2)$​
​$ =6a^2+5ab + b^2-a^2-2ab - b^2$​
​$ =(5a^2+3ab)\mathrm {m^2}$​
答:绿化面积是​$(5a^2+3ab)\mathrm {m^2}。$​