Answer:
[tex]\frac{6z-5}{z+5}[/tex]
Step-by-step explanation:
Factorise the numerator and denominator
12z - 10 = 2(6z - 5) ← common factor of 2
2z + 10 = 2(z + 5) ← common factor of 2
Thus the fraction becomes
[tex]\frac{2(6z-5)}{2(z+5)}[/tex] ← cancel the 2 on numerator/ denominator
= [tex]\frac{6z-5}{z+5}[/tex]