Question

Skroc ulamki
-2(x+1)^2+2x+2 podzielic przez 2x^2 - 2x

Answer 1

[- 2(x + 1)² + 2x + 2] : 2x² - 2x = [- 2(x + 1)(x + 1) + 2(x + 1)] : 2x(x - 1) =
 = 2(x + 1)[ - (x + 1) + 1] : 2x(x - 1) = 2(x + 1)[- x - 1 + 1] : 2x(x - 1) =
 = 2(x + 1)* - x : 2x(x - 1) = - 2x(x + 1) : 2x(x - 1) = -(x + 1):(x - 1)

Answer 2

(-2(x+1)^2+2x+2 ) : (2x^2 - 2x) = (-2(( x^2+ 2x + 1) + 2x + 2 )) : ( 2x^2 - 2x) = (-2x^2- 4x -2 + 2x + 2) : 2(( 2x^2 - 2x) = ( -2x^2 - 2x) :( 2x^2 - 2x) = (-x) ( 2x +2 ) / ( -x) ( 2 - 2x) = (2x +2) / ( 2 - 2x) = 2(x + 1) / 2( 1 - x ) = ( x +1) / ( 1- x )