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F(y) = 2y^3-y^2+2y-1 / y^3-y^2+y-1 and g(y) = 2y^2-3y+1/4y^2-4y+1

f(y) x g(y) =

1 Answer

3 votes

(2y^3-y^2+2y-1)/(y^3-y^2+y-1)\cdot (2y^2-3y+1)/(4y^2-4y+1)\\\\=((y^2+1)(2y-1))/((y^2+1)(y-1))\cdot ((2y-1)(y-1))/((2y-1)^2)\\\\=((y^2+1)(2y-1)^2(y-1))/((y^2+1)(2y-1)^2(y-1))=1
User Moongoal
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