Question

The expression (3x - 1)4 is expanded and simplified.

Which monomial listed below is a term in the result?

A.-4x3
B.-27x3
C.-54x3
D.-108x3

Answer 1

I think it's A
Hope it helps u

Answer 2

-108x^3

Explanation:

(3x - 1)^4

Expand the given expression and simplify it

(3x-1)(3x-1)(3x-1)(3x-1)

Use FOIL method to multiply (3x-1)(3x-1)

9x^2-3x-3x+1

9x^2-6x+1

Now multiply (9x^2-6x+1)(9x^2-6x+1)

81x^4 -54x^3+9x^2 -54x^3+36x^2 -6x+9x^2-6x+1

Combine like terms

81x^4 - 108 x^3 + 54 x^2 - 12 x + 1

-108x^3 is listed in the result