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A ground has an area of 5-2X2. There are 2 rectangular pits, 2X2, and 4X2 in the courtyard. Find the expression for the ground area without the two pits and simplify the expression.

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Expression for ground area is 5 - 4x²

Step-by-step explanation:

  • Step 1: Find the ground area without the two pits.

Ground area = 5 - 2x²

Pit 1 area = 2x²

Pit 2 area = 4x²

⇒ Expression for the ground area without the two pits

= (5 - 2x²) - (2x² + 4x²)

= (5 - 2x²) - (6x²) = 5 - 2x² - 6x² = 5 - 4x²

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