Question

simplifique a expressão algebrica

Answer 1

( x³ - 1) / ( x - 1 )
fatorando x³ - 1 = ( x - 1 ) ( x² + x + 1)
reescrevendo
[ ( x - 1) ( X² + X + 1)// ( X - 1)
CORTANDO X - 1   FICA
X² + X + 1 ****

( 3X² - 17X + 20)/ ( 4X² - 25X + 36)
3X² - 17X + 20 = 0
DELTA = 289 -240 = 49 OU +-v49 = +-7 *****
X = ( 17 +-7)/6
X1 = 24/6 = 4 ****
X2 =10/6 = 5/3 *****
( x - 4) ( x - 5/3 ) >>>  numerador

4x² - 25x + 36 = 0
delta = 625 - 576 = 49 = +-V49 = +-7 ***
x = ( 25 +-7)/8
x1 = 32/8 = 4 ****
x2 = 18/8 = 9/4 ****
( x - 4) ( x - 9/4) denominador
reescrevendo 
[( x - 4) ( x - 5/3)]/ [( x - 4 )( x - 9/4)]
cortando x - 4 fica
( x - 5/3)/ ( x - 9/4) *****