(y^7-y^5)/(y^2-1)

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Solution for (y^7-y^5)/(y^2-1) equation: 


D( y )

y^2-1 = 0

y^2-1 = 0

y^2-1 = 0

1*y^2 = 1 // : 1

y^2 = 1

y^2 = 1 // ^ 1/2

abs(y) = 1

y = 1 or y = -1

y in (-oo:-1) U (-1:1) U (1:+oo)

(y^7-y^5)/(y^2-1) = 0

y^7-y^5 = 0

y^5*(y^2-1) = 0

1*y^2 = 1 // : 1

y^2 = 1

y^2 = 1 // ^ 1/2

abs(y) = 1

y = 1 or y = -1

y^5*(y-1)*(y+1) = 0

(y^5*(y-1)*(y+1))/(y^2-1) = 0

( y+1 )

y+1 = 0 // - 1

y = -1

( y-1 )

y-1 = 0 // + 1

y = 1

( y^5 )

1*y^5 = 0 // : 1

y^5 = 0

y = 0

y in { -1} 

y in { 1} 

y = 0

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