Multiply

3x^2 (4x^2 + 6x - 3)

A 7x^2 + 92 - 6

B 12x4 + 180 - 9

C 12x^2 + 182 - 9

D 12x^4 + 18x3 - 9x^2

12 x^4 + 18 x^3 - 9 x^2 thus D is the correct answer.

Step-by-step explanation:

Expand the following:

3 x^2 (4 x^2 + 6 x - 3)

3 x^2 (4 x^2 + 6 x - 3) = 3 x^2 (4 x^2) + 3 x^2 (6 x) + 3 x^2 (-3):

3 4 x^2 x^2 + 3 6 x^2 x - 3 3 x^2

3 (-3) = - 9:

3 4 x^2 x^2 + 3 6 x^2 x + - 9 x^2

3 x^2*6 x = 3 x^ (2 + 1) * 6:

3 4 x^2 x^2 + 3*6 x^ (2 + 1) - 9 x^2

2 + 1 = 3:

3 4 x^2 x^2 + 3 6 x^3 - 9 x^2

3*6 = 18:

3 4 x^2 x^2 + 18 x^3 - 9 x^2

3 x^2*4 x^2 = 3 x^4*4:

3*4 x^4 + 18 x^3 - 9 x^2

3*4 = 12:

Answer: 12 x^4 + 18 x^3 - 9 x^2