Five students each wrote an expression to represent the perimeter of the given rectangle. Terrell wrote this correct expression: (2x + 2x) + (5x + 5x) + (1 + 1). Circle the name of the student who wrote an incorrect expression. Explain why the expression is incorrect. Anya: 2x + 2x + 5x + 1 + 5x + 1 Katrin: 2(5x + 1) + 2x Luis 2(2x) + 2(5x + 1) Steve: 1 + 1 + x(2 + 2 + 5 + 5)​

Luis wrote an incorrect expression.

Step-by-step explanation:

As per Terrell, the correct expression is (2x+2x) + (5x+5x) + (1+1) which is equal to 12x + 2

For you who got incorrect answer, the answer if you simplified it must be 12x + 2. Let's check:

Anya     2x+2x+5x+1+5x+1 =

            12x + 2 [CORRECT]

Katrin    2(5x+1) + 2x

             10x+2+2x

             12x + 2 [CORRECT]

Luis       2(2x) + 2(5x+1)

             4x+10x+2

             14x + 2 [INCORRECT]

Steve     1+1+ x(2+2+5+5)

              2+ x(12)

             12x + 2 [CORRECT]

c

step-by-step explanation:

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)