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?

Step-by-step explanation:

We have been given that Vanessa uses the expressions and to represent the length and width of her patio.

To find the expression that represents the area of Vanessa's patio we will multiply the length of patio by width of patio as:

Upon using distributive property we will get,

Using exponent property we will get,

Now let us combine like terms.

Therefore, the expression represents the area of Vanessa's patio.