Question

Simplifique as expressões,fatorando o numerador e denominador:

a)x²-7x+6/x²-6.

b)2x²+4x+2/x+1

c)x²y+xy²+x²+xy/xy+y²+x+y

d)x²-6x+9/x-3

Answer 1

Boa tarde Theo

a) (x² - 7x + 6)/(x² - 6) falta algo para simplificar

b) (2x² + 4x + 2)/(x + 1) = 2*(x + 1)²/(x + 1) = 2x + 2

c) (x²y + xy² + x² + xy)/(xy + y² + x + y) =

(x²*(y + 1) + xy*(y + 1)/((x + y)*(y + 1) = 
((y + 1)*x(x + y)/((x + y)*(y + 1) = x

d) (x - 3)²/(x - 3) = x - 3