Question

for y ≠ -2, simplify 2y^2 -6y-3 / 2y +4

 

What on earth is this?

Answer 1

(2y^2 - 6y - 3) / (2y + 4)
= (2y^2 - 6y - 20 + 17) / (2y + 4)
= ((2y^2 - 6y - 20) / (2y + 4)) + (17 / (2y + 4))
= (2(y^2 - 3y - 10) / 2(y + 2)) + (17 / (2y + 4))
= ((y^2 - 3y - 10) / (y + 2)) + (17 / (2y + 4))
= ((y - 5)(y + 2) / (y + 2)) + (17 / (2y + 4))
= (y - 5) + (17 / (2y + 4))
= y - 5 + (17 / (2y + 4))