已知X=2012,Y=2013,求代数式X分之X-Y 除以 (X- X分之2XY-Y的平方)的值
问题描述:
已知X=2012,Y=2013,求代数式X分之X-Y 除以 (X- X分之2XY-Y的平方)的值
答
即
(x-y)/x÷[x-(2xy-y²)/x]
=(x-y)/x÷[(x²-2xy+y²)/x]
=(x-y)/x÷(x-y)²/x
=(x-y)/x*x/(x-y)²
=1/(x-y)
=1/(2012-2013)
=-1