Question

Find a polynomial that represents the area of the
square.

Answer 1

16x² + 72x + 81

Explanation:

The area of a square is
`s^2`, where s = side. In this case, we're given the side length as 4x + 9.

• 
  `(4x+9)^2 = (4x+9)(4x+9)`
• 
  `(4x+9)(4x+9)=(4x)(4x)+(4x)(9)+(9)(4x)+(9)(9)`
• 
  `16x^2+36x+36x+81`
• 
  `16x^2+72x+81`

Therefore, the answer is 16x² + 72x + 81.