Multiply: (2x2 - 5x) (3x2 + 9x + 3)

A) 6x4 + 3x3 - 39x2 - 15x

B) 6x4 + 3x3 - 51x2 - 15x

C) 6x4 - 33x3 + 51x2 - 15x

D) 6x4 - 33x3 + 51x2 + 15x

Distribute sum groups

2x^2 (3x^2 + 9x + 3) - 5x (3x^2 + 9x + 3)

Distribute

6x^4 + 18x^3 + 6x^2 - 5x (3x^2 + 9x + 3)

Distribute

6x^4 + 18x^3 + 6x^2 - (15x^3 + 45x^2 + 15x)

Simplify brackets

6x^4 + 18x^3 + 6x^2 - 15x^3 - 45x^2 - 15x

Collect like terms

6x^4 + (18x^3 - 15x^3) + (6x^2 - 45x^2 - 45x^2) - 15x

Simplify

Answer: A) 6x^4 + 3x^3 - 39x^2 - 15x