Question

1.
7(x-5)/3x-15
2.
(x2-y2)/x-y
5.
10x(x2-1)/2x(x+1)
8.
15x2-2x-8/10x2+7x-12
9.
(x2-2x)(x2-4)/x(x+2)

Answer 1

7 ( x- 5)     7( x-5)
-------------  =-----------= 7/3
3 x - 1 5     3( x-5)



(x² - y²)    (x+y)(x-y)
-----------= --------------- = x+y
x-y            x-y



10x ( x² - 1)            (x+1)(x-1)
---------------------- = 5 -------------  = 5 (x-1)
2x ( x+1)                     x+1




15x² - 2x - 8         ( 5x - 4) ( 3x + 2)    ( 3x + 2)
-------------------- =----------------------------= -----------
10x² + 7x - 12     (5x - 4) ( 2x + 3)       ( 2x+3)




x² - 2x ( x² - 4 )       x( x - 2)(x+2 )(x-2)
--------------------------=--------------------------- = ( x-2)²
   x ( x + 2 )                   x ( x+2)