Question

сократите дроби
а) x^2-4y^2/x+2y

б)x^2-4y^2/x-2y

в) 2y+x/x^2-4y^2

г)2y-x/x^2-4y^2

Answer 1

(х² -4y²)/(x+2y)=((x+2y)(x-2y)) /(x+2y)=x-2y

(x² -4y²)/(x-2y)=((x-2y)(x+2y)) /(x-2y)=x+2y

(2y+x)/(x² -4y²)=(2y+x)/((x-2y)(x+2y))=1/(x-2y)

(2y-x)/(x²-4y²)=(2y-x)/((x-2y)(x+2y))= -(x-2y)/ ((x-2y)(x+2y))= - 1/(x+2y)