Question

8º Ano] Simplifique as frações admitindo que os denominadores sejam diferentes de zero

a) 3a-3b/12
b) 5x+10/5x
c) 3x-3/3x+6
d)8x-8y/10x-10y
e) x²-x/x-1
f) 18x-18/10x-10y
g)2x+2y/6
h) 15x²+5x/5x
i) 4x²-y²/2x-y







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Answer 1

( 3a - 3b)/12 =3 ( a - b)/12 = 1(a - b)/4
( 5x + 10)/5x = 5/5x ( x + 2)   = x ( x + 2)
( 3x - 3)/ ( 3x + 6 ) = 3 (x - 1)/ 3 ( x + 2) = ( x - 1)/ ( x + 2)
( 8x - 8y)/ (10x - 10y)  = 8 ( x - y) / 10( x - y)  = 8/10  = 4/5 
( x² - x)/ (x - 1) =  x ( x - 1)/ ( x - 1) = x
(18x - 18)/ (10x - 10y)  = 18( x - 1)/ 10(x - y) = 18/10 ( x - 1)/( x - y) =               9/5 ( x-1)(x-y)
( 2x + 2y)/6 =  2 ( x + y)/6  = 1/3 ( x + y)
(15x² + 5x )/ 5x =  5x ( 3x + 1)/5x = 3x + 1 
( 4x² - y² ) / ( 2x - y) = ( 2x + y)(2x - y)/ ( 2x - y) = 2x + y