Respuesta :

The area of the square in terms of x is 16x² - 8x + 1

Step-by-step explanation:

The formula of the area of a square is A = L², where L is the

length of its side

∵ The length of a side of a square is 4x - 1

∴ L = (4x - 1)

∵ The area of the square is A = L²

∴ A = (4x - 1)²

To solve bracket power 2

  • Find (1st term)²
  • Find (1st term × 2nd term × 2)
  • Find (2nd term)²
  • Add all the answers

The first term is 4x and the second term is -1

∵ (4x)² = 16x²

∵ (4x)(-1)(2) = -8x

∵ (-1)² = 1

∴ (4x -1)² = 16x² + -8x + 1

∴ (4x -1)² = 16x² - 8x + 1

∴ A = 16x² - 8x + 1

The area of the square in terms of x is 16x² - 8x + 1

Learn more:

You can learn more about the area of figures in brainly.com/question/4599754

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