Dylan uses the expressions (x2 – 2x + 8) and (2x2 + 5x – 7) to represent the length and width of his bedroom. Which expression represents the area (lw) of Dylan’s room?

2 + x³ - x² + 54x - 56

Step-by-step explanation:

Area (A) is calculated as

A = length × width

   = (x² - 2x + 8)(2x² + 5x - 7)

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

x²(2x² + 5x - 7) - 2x(2x² + 5x - 7) + 8(2x² + 5x - 7) ← distribute all parenthesis

= 2 + 5x³ - 7x² - 4x³ - 10x² + 14x + 16x² + 40x - 56 ← collect like terms, thus

A = 2 +x³ - x² + 54x - 56

easy math just plug in a and b

step-by-step explanation: