(1/3+1/5+1/7+1/9)*(1/5+1/7+1/9+1/11)-(1/3+1/11+1/5+1/7+1/9)*1/5+1/7+1/9)简便运算可以将1/5+1/7+1/9设为a

问题描述:

(1/3+1/5+1/7+1/9)*(1/5+1/7+1/9+1/11)-(1/3+1/11+1/5+1/7+1/9)*1/5+1/7+1/9)简便运算
可以将1/5+1/7+1/9设为a

原式=(1/3+a)*(a+1/11)-(1/3+1/11+a)*a
=1/3a方+1/3a+1/33
然后再把1/5+1/7+1/9=a代入