Réponse :
Explications étape par étape
Bonjour
Simplifier
A = (x^2 - y^2)/(y^2 + xy)
A = (x - y)(x + y) / [y(y + x)]
A = (x - y)/y
B = (x + y)/(x - y) + y^2/(x - y)^2
B = [(x + y)(x - y) + y^2]/(x - y)^2
B = (x^2 - y^2 + y^2)/(x - y)^2
B = x^2/(x - y)^2
C = (x^2 - y^2)/(xy) + (xy - y^2)/(xy - x^2)
C = [(x - y)(x + y)]/(xy) + [y(x - y)]/[x(y - x)]
C = [(x - y)(x + y)(y - x) + y(x - y)y]/[xy(y - x)]
C = [(x - y)(y^2 - x^2 + y^2]/[xy(y - x)]
C = -(2y^2 - x^2)/(xy)
C = (x^2 - 2y^2)/(xy)
D = (x - y + (2y^2)/(x + y))/((x + y)/(2xy) + 1/(x + y))
D = [(x - y)(x + y) + 2y^2]/(x + y) / [(x + y)(x + y) + 2xy]/[(2xy(x + y)]
D = (x^2 - y^2 + 2y^2)/(x + y) / (x^2 + 2xy + y^2 + 2xy)/(2xy(x + y))
D = (x^2 + y^2)/(x + y) / (x^2 + y^2 + 4xy)/(2xy(x + y)
D = (x^2 + y^2)/(x + y) * (2xy(x + y))/(x^2 + y^2 + 4xy)
D = [2xy(x^2 + y^2)] / [4xy + x^2 + y^2]
