Answer:
25z⁴ + 30z³ + 29z² + 12z + 4
Step-by-step explanation:
We have to use the algebraic identity, (a + b + c)² = a² + b² + c² + 2ab +2bc + 2ca
Here, a = 5z² ; b =3z +; c =2
(5z² + 3z + 2)² = (5z²)² + (3z)² + 2² + 2*(5z²)*(3z) +2*(3z)*2 + 2*2*5z²
= 25z⁴ + 9z² + 4 +30z³ + 12z + 20z²
= 25z⁴ + 9z² + 20z² + 30z³ + 12z + 4
Combine like terms,
= 25z⁴ + 30z³ + 20z² + 12z + 4
