Aconference room is in the shape of a rectangle. its floor has a length of (x − 4) meters and a width of (3x − 1) meters. the expression below represents the area of the floor of the room in square meters: (x − 4)(3x − 1) which of the following simplified expressions represents the area of the floor of the conference room in square meters?

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

the answer to this question is yes