To find the area of the garden that belongs to Pablo, we need to subtract the area that belongs to Golden from the total area of the garden.
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Total Area of the Garden:
\[ 5x^2 - 3x + 10 \] -
Area that Belongs to Golden:
\[ 2x^2 + 4x - 2 \] -
Area that Belongs to Pablo:
\[ \text{Area of Pablo} = \text{Total Area} - \text{Area of Golden} \] \[ \text{Area of Pablo} = (5x^2 - 3x + 10) - (2x^2 + 4x - 2) \]
Now, we will distribute the negative sign and combine like terms:
\[ = 5x^2 - 3x + 10 - 2x^2 - 4x + 2 \]
Now, combine like terms:
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For \(x^2\) terms: \[5x^2 - 2x^2 = 3x^2\]
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For \(x\) terms: \[-3x - 4x = -7x\]
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For constant terms: \[10 + 2 = 12\]
Putting it all together, we get:
\[ \text{Area of Pablo} = 3x^2 - 7x + 12 \]
Therefore, the area that belongs to Pablo is:
\[ 3x^2 - 7x + 12 \text{ square feet.} \]