(1)原式=(2a+a+2)/(a^2-4)=(3a+2)/(a^2-4)
(2) ∵(a+b)^2=8ab (a-b)^2=4ab ∴a^2-b^2=4√2ab
原式=-(a+b)^2/(a^2-b^2)=-(8ab)/(4√2ab)=-√2
(3)米价为x与y
甲100*2/(100/x+100/y)=2xy/(x+y)
乙100(x+y)/200=1/2(x+y)
当x=y时甲乙方式相同
当x≠y时甲的方式合算:(2xy/(x+y))/(1/2(x+y))=4xy/(x+y)^20
(1)原式=(2a+a+2)/(a^2-4)=(3a+2)/(a^2-4)
(2) ∵(a+b)^2=8ab (a-b)^2=4ab ∴a^2-b^2=4√2ab
原式=-(a+b)^2/(a^2-b^2)=-(8ab)/(4√2ab)=-√2
(3)米价为x与y
甲100*2/(100/x+100/y)=2xy/(x+y)
乙100(x+y)/200=1/2(x+y)
当x=y时甲乙方式相同
当x≠y时甲的方式合算:(2xy/(x+y))/(1/2(x+y))=4xy/(x+y)^20