(x+y²)+(2x+1/1×2·y²)+(3x+1/2×3·y²)+……+(9x+1/8
来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/15 19:51:44
(x+y²)+(2x+1/1×2·y²)+(3x+1/2×3·y²)+……+(9x+1/8×9·y²)
(X+Y²;)+(2X+1/1*2 *Y²;)+...+(9X+1/8*9 *Y²;)
=(X+y^2)+(2X+1/2Y^2)+(3X+1/2*1/3Y^2)+...+(9X+1/8*1/9Y^2)
=X+y^2+2X+1/2y^2+3X+1/6Y^2+...+9X+1/72Y^2
=45X+1/2Y^2+1/6Y^2+1/12Y^2+1/20Y^2+1/30Y^2+1/42Y^2+1/56Y^2+1/72Y^2
=45X+1/2Y^2+...+1/72Y^2
=45X+(1/2+1/6+...+1/72)Y^2
=45X+[(1—1/2)+(1/2—1/3)+...+(1/8-1/9)]Y^2
=45X+(1-1/9)]Y^2
=45X+8/9Y^2
【若是化简求值,将X,Y代入即可】
祝楼主钱途无限,事事都给力!
=(X+y^2)+(2X+1/2Y^2)+(3X+1/2*1/3Y^2)+...+(9X+1/8*1/9Y^2)
=X+y^2+2X+1/2y^2+3X+1/6Y^2+...+9X+1/72Y^2
=45X+1/2Y^2+1/6Y^2+1/12Y^2+1/20Y^2+1/30Y^2+1/42Y^2+1/56Y^2+1/72Y^2
=45X+1/2Y^2+...+1/72Y^2
=45X+(1/2+1/6+...+1/72)Y^2
=45X+[(1—1/2)+(1/2—1/3)+...+(1/8-1/9)]Y^2
=45X+(1-1/9)]Y^2
=45X+8/9Y^2
【若是化简求值,将X,Y代入即可】
祝楼主钱途无限,事事都给力!
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