Question

simplifique as expressões

a) x⁴+3x²/x²+3

b) x^7+x^5+x³/x⁴+x²+1

c) x²-4/x+2

d) x²-4/x²-4x+4

Answer 1

a) (x^4 + 3x^2) / (x^2 + 3) =
x^2(x^2 + 3) / (x^2 + 3) =
x^2

b) (x^7 + x^5 + x^3) / (x^4 + x^2 + 1) =
x^3(x^4 + x^2 + 1) / (x^4 + x^2 + 1) =
x^3

c) (x^2 - 4) / (x + 2) =
(x - 2)(x + 2) / (x + 2) =
(x - 2)

d) (x^2 - 4) / (x^2 - 4x + 4) =
(x - 2)(x + 2) / (x - 2)^2 =
(x + 2) / (x - 2)