Question

(3x + 5)(x2 + 6x +11)
multiply

Answer 1

3x^3+18x^2+33x+5x^2+30x+55
3x^3+23x^2+63x+55

Answer 2

3x³ + 23x² + 63x + 55

Explanation:

Given

(3x + 5)(x² + 6x + 11)

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

3x(x² + 6x + 11) + 5(x² + 6x + 11) ← distribute both parenthesis

= 3x³ + 18x² + 33x + 5x² + 30x + 55 ← collect like terms

= 3x³ + 23x² + 63x + 55