Asked by Science Star
                I need a little bit of help here. 
x(x-1)+(x-1)(x+2)
_____________
(x-2)(x+1)
How do you simplify that? Do you look for common factors? Or is it something else?
            
            
        x(x-1)+(x-1)(x+2)
_____________
(x-2)(x+1)
How do you simplify that? Do you look for common factors? Or is it something else?
Answers
                    Answered by
            Bosnian
            
    [ x ( x - 1 ) + ( x -1 ) ( x + 2 ) ] / [ ( x - 2 ) ( x + 1 ) ] =
( x - 1 ) [ x + ( x + 2 ) ] / [ ( x - 2 ) ( x + 1 ) ] =
( x - 1 ) ( x + x + 2 ) / [ ( x - 2 ) ( x + 1 ) ] =
( x - 1 ) ( 2 x + 2 ) / [ ( x - 2 ) ( x + 1 ) ] =
( x - 1 ) ∙ 2 ( x + 1 ) / [ ( x - 2 ) ( x + 1 ) ] =
2 ( x - 1 ) / ( x - 2 )
    
( x - 1 ) [ x + ( x + 2 ) ] / [ ( x - 2 ) ( x + 1 ) ] =
( x - 1 ) ( x + x + 2 ) / [ ( x - 2 ) ( x + 1 ) ] =
( x - 1 ) ( 2 x + 2 ) / [ ( x - 2 ) ( x + 1 ) ] =
( x - 1 ) ∙ 2 ( x + 1 ) / [ ( x - 2 ) ( x + 1 ) ] =
2 ( x - 1 ) / ( x - 2 )
                    Answered by
            Science Star
            
    Thank you!
    
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