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.
Given:
- Total area of the garden: \(5x^2 - 3x + 10\)
- Area belonging to Golden: \(2x^2 + 4x - 2\)
We can find Pablo's area by performing the following subtraction:
\[ \text{Area belonging to Pablo} = \text{Total area} - \text{Area belonging to Golden} \]
Substituting the expressions:
\[ \text{Area belonging to Pablo} = (5x^2 - 3x + 10) - (2x^2 + 4x - 2) \]
Now, distribute the negative sign:
\[ \text{Area belonging to Pablo} = 5x^2 - 3x + 10 - 2x^2 - 4x + 2 \]
Next, 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: \[ 10 + 2 = 12 \]
So, the expression for the area that belongs to Pablo is:
\[ 3x^2 - 7x + 12 \]
Therefore, the area of the garden that belongs to Pablo is:
\[ \boxed{3x^2 , - , 7x , + , 12 \text{ Square Feet}} \]