Question

Simplifique as frações algebricas

a) x² + 3x /x² - 9

b) a² + ay / ax + ay

c) 9x² + 2yx + 16 / 60x²b + 80xb

d) ay + y / ay

e) x² - 1 / x² - 2x + 1

Answer 1

x² + 3x         x(x + 3)              x
--------- = -------------------  = --------
x² - 9       (x + 3)(x - 3)        x - 3

----------------------------------------------------------------------------

a² + ay       a(a + y)       a + y
----------- = ------------ = --------
ax + ay      a(x + y)       x + y
----------------------------------------------------
  9x² + 12xy + 16y²         (3x + 4y)²            3x + 4y
------------------------ = ---------------------- = ------------
  60x²b + 80xby          20xb(3x + 4y)          20xb

-----------------------------------------------------------------------------
ay + y    y(a + 1)       a + 1
------- = ------------ = ---------
  ay           ay               a

-------------------------------------------------------------------------

    x² - 1         (x +1)(x - 1)         x + 1
------------- = ------------------ = ------------
x² - 2x + 1        (x - 1)²               x - 1