Simplifique as seguintes expressões:
a-)x² - 5x + 6 / x² - 9
b-)3x^4 - 10x² / x^5 - x²
c-)x² - 9 / x - 3
a-)x² - 5x + 6 / x² - 9
b-)3x^4 - 10x² / x^5 - x²
c-)x² - 9 / x - 3
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a-)x² - 5x + 6 / x² - 9
x² - 5x + 6 (x - 3)(x - 2) (x - 3)(x - 2) : (x - 3) (x + 2)
--------------- = ---------------- = ---------------- = -------- == x+2/x+3
x² - 9 (x - 3)( x+ 3) (x - 3)(x + 3) : (x - 3) (x + 3)
b-)3x^4 - 10x² / x^5 - x²
3x⁴ - 10x² x²( 3x² - 10) x²(3x² - 10) : x² 3x² - 10
-------------- = ---------------- = -------------- = ---------- = = 3x² - 10/x³-1
x⁵ - x² x²(x³ - 1) x²(x³ - 1) : x² x³ - 1
c-)x² - 9 / x - 3
x² - 9 (x - 3)(x + 3) (x - 3)(x + 3) :(x - 3) x + 3
---------- = ----------------- = ---------------- = ------ == x + 3
x - 3 x - 3 x - 3 :(x - 3) 1