What is the simplified form of the quantity 4 z squared minus 16z plus 15 over the quantity 2 z squared plus z minus 15 ?

Question

anonymous · Answer

$$\frac{ 4z^2-16z+15 }{ 2z^2+z-15 }$$
is it yours?

anonymous · Answer

since Calisto here, let him help. hihi... he is much more better than me

callisto · Answer

@DeadShot Are you here? Is the expression given by Hoa right?

callisto · Answer

Suppose the expression is correct. To simplify it, we need to factorize both the numerator and denominator.
Consider the numerator,
$$4z^2-16z+15$$$$=4z^2-10z-6z+15$$Take out the common factor for the first two terms and last two terms:
$$=2z(2z-5)-3(2z-5)$$Take out the common factor again, we'll get
$$=(2z-3)(2z-5)$$

Now, try to factorize the denominator.

deadshot · Answer

$$So-the- answer -is\frac{ (2z-3) }{ (z+3) } $$right?