Question

How do you simplify `\frac { 2a ^ { 3} - 13a ^ { 2} + 7a + 12} { 2a - 3}`?

Answer 1

`a^2-5a-4`

Explanation:

`(2a^3-13a^2+7a+12)/(2a-3) =(2a^3-3a^2-10a^2+15a-8a+12)/(2a-3)`

or `(a^2(2a-3)-5a(2a-3)-4(2a-3))/(2a-3)` or

`(cancel((2a-3))(a^2-5a-4))/cancel((2a-3))` or

`a^2-5a-4` [Ans]