Verified answer

Resposta:

(n + 1) × (n + 3) × (n + 2) × (n - 3)

(n² + 3n + n + 3) × (n² - 3n + 2n - 6)

(n² + 4n + 3) × (n² - n - 6)

n⁴ - n³ - 6n² + 4n³ - 4n² - 24n + 3n² - 3n - 18

n⁴ + 3n³ - 7n² - 27n - 18

Resposta

n⁴+3n³-7n²-27n-18

Explicação passo-a-paso

(n+1)*(n+3)*(n+2)*(n-3)=

(n+1).(n+3)=(n²+3n+n+3)=n²+4n+3

(n²+4n+3).(n+2)=n³+2n²+4n²+8n+3n+6=n³+6n²+11n+6

(n³+6n²+11n+6).(n-3)=n⁴-3n³+6n³-18n²+11n²-33n+6n-18=

n⁴+3n³-7n²-27n-18