Question

10 multiple choice 1 point multiply: (a + 2)(a² + 3a + 5) a³ + 5a² + 11a + 10 a³ + 3a² + 5a + 2 a³ + 3a² + 6a + 10 2a² + 6a + 10

Explanation:

Step1: Distribute $a$ to each term

$a(a^2 + 3a + 5) = a^3 + 3a^2 + 5a$

Step2: Distribute $2$ to each term

$2(a^2 + 3a + 5) = 2a^2 + 6a + 10$

Step3: Combine like terms

$(a^3 + 3a^2 + 5a) + (2a^2 + 6a + 10) = a^3 + (3a^2+2a^2) + (5a+6a) + 10 = a^3 + 5a^2 + 11a + 10$

Answer:

$a^3 + 5a^2 + 11a + 10$