Respuesta :

renknee

Answer:

16x^2 - 8x + 1

Step-by-step explanation:

1. The area of a square can be represented as s^2 or (s)(s), where s = side.

2. (Solving)

Step 1: Set up expression

  • [tex](4x-1)^2[/tex]
  • [tex](4x-1)(4x-1)[/tex]

Step 2: Apply the FOIL method (first, outside, inside, last)

  • [tex](4x)(4x)+(4x)(-1)+(-1)(4x)+(-1)(-1)[/tex]
  • [tex]16x^2 -4x -4x +1[/tex]

Step 3: Simplify.

  • [tex](16x^2)+(-4x-4x)+(1)[/tex]
  • [tex]16x^2 -8x + 1[/tex]

Therefore, the area of the square in terms of x is 16x^2 - 8x + 1.

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