Question

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Answer 1

25
`z^(4)` + 30z³ + 29z² + 12z + 4

Explanation:

(5z² + 3z + 2)²

= (5z² + 3z + 2)(5z² + 3z + 2)

Each term in the second factor is multiplied by each term in the first factor, that is

5z²(5z² + 3z + 2) + 3z(5z² + 3z + 2) + 2(5z² + 3z + 2) ← distribute parenthesis

= 25
`z^(4)` + 15z³ + 10z² + 15z³ + 9z² + 6z + 10z² + 6z + 4 ← collect like terms

= 25
`z^(4)` + 30z³ + 29z² + 12z + 4