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QUESTION IMAGE

(a - 1)(- 3a² + 3 + 4a)

Question

(a - 1)(- 3a² + 3 + 4a)

Explanation:

Step1: List all product terms

$\boldsymbol{-3a^3 + 3a + 4a^2 + 3a^2 - 3 - 4a}$

Step2: Group like terms

$\boldsymbol{-3a^3 + (4a^2 + 3a^2) + (3a - 4a) - 3}$

Step3: Combine like terms

$\boldsymbol{-3a^3 + 7a^2 - a - 3}$

Answer:

$-3a^3 + 7a^2 - a - 3$