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.
