Question

Simplificați fracțiile:
a.)))Ab+ba pe xy+yx
b.))) abc+bca+cab pe wyz+yzw+zxy

Answer 1

a) (ab(barat)+ba(barat)) / (xy(barat)+yx(barat)) =  
(10a+b+10b+a) / (10x+y+10x+y)=(11a+11b) / (11x+11y) = 11(a+b)/11(x+y)=(a+b)/(x+y)  
b) (abc(barat)+bca(barat)+cab(barat)) / (xyz(barat)+yzx(barat)+zxy(barat))=(100a+10b+c+100b+10c+a+100c+10a+b) / (100x+10y+z+100y+10z+x+100z+10x+y)=(111a+111b+111c) / (111x+111y+111z)=111(a+b+c)/111(x+y+z)=(a+b+c)/(x+y+z)