Vanessa uses the expressions (3x2 + 5x + 10) and (x2 – 3x – 1) to represent the length and width of her patio. Which expression represents the area (lw) of Vanessa’s patio?

Area =  .

Step-by-step explanation:

Given : Vanessa uses the expressions (3x² + 5x + 10) and (x² – 3x – 1) to represent the length and width of her patio.

To find : Which expression represents the area (lw) of Vanessa’s patio?

Solution : We have given

Length =  (3x² + 5x + 10)

Width =  (x² – 3x – 1)

Area=  length *  width .

Area = (3x² + 5x + 10) *  (x² – 3x – 1).

Area = 3x²  (x² – 3x – 1) + 5x  (x² – 3x – 1) + 10  (x² – 3x – 1).

Area = .

Combine like terms

Area =  .

Area =  .

Area =  .

Therefore, Area =  .