55^2-145^2203^2-22^2

[latex] frac{55^2-145^2}{203^2-22^2} =frac{(55-145)(55+145)}{(203-22)(203+22)} =frac{(-90)*200}{181*225} =-frac{90*8}{181*9}=-frac{10*8}{181}=\=-frac{80}{181}=0.44....[/latex][latex] frac{300^2-100^2}{140^2-60^2}= frac{(300-100)(300+100)}{(140-60)(140+60)}= frac{200*400}{80*200} =5[/latex][latex] frac{181^2-61^2}{319^2-209^2}= frac{(181-61)(181+61)}{(319-209)(319+209)}= frac{120*242}{110*528}=frac{12*121}{11*264}=frac{11}{22}=frac12=0.5[/latex]