(y^2+4y)/(y^2-4)

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Solution for (y^2+4y)/(y^2-4) equation: 


D( y )

y^2-4 = 0

y^2-4 = 0

y^2-4 = 0

1*y^2 = 4 // : 1

y^2 = 4

y^2 = 4 // ^ 1/2

abs(y) = 2

y = 2 or y = -2

y in (-oo:-2) U (-2:2) U (2:+oo)

(y^2+4*y)/(y^2-4) = 0

y^2+4*y = 0

y*(y+4) = 0

y+4 = 0 // - 4

y = -4

y*(y+4) = 0

(y*(y+4))/(y^2-4) = 0

( y+4 )

y+4 = 0 // - 4

y = -4

( y )

y = 0

y in { -4, 0 }

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