How would you simplify this? I have to show all my work.

Question

$(8y^(3)-16y^(2))/(2y^(3)-2y^(2)-4y)$

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Answer 1 · 2016-11-02T20:52:06

$=(4y)/((y+1))$

Find factors first: look for common factors

$(8y^3-16y^2)/(2y^3-2y^2-4y)$

$= (8y^2(y-2))/(2y(y^2-y-2))" "larr$ quadratic trinomial

$=(8y^2(y-2))/(2y(y-2)(y+1))" "larr$ cancel like factors

$=(cancel8^4y^2(cancel(y-2)))/(cancel2y(cancel(y-2))(y+1))$

$=(4y)/((y+1))$