1. (y^2 + 2y – 35) ÷ (y+7)
2. a^8 – 5a^5 – 3a^3 / a^2
1. (y^2 + 2y – 35) ÷ (y+7) = factor the numerator
(y + 7) (y - 5) / (y + 7) = "cancel' on top and bottom
(y - 5)
2. a^8 – 5a^5 – 3a^3 / a^2 = factor the numerator
a^3 (a^5 - 5a^2 - 3) / a^2 = "cancel" on top and bottom
a(a^5 - 5a^2 - 3)