Answer:
= 14x - 6y + x^2
Explanation:
To simplify the given expression, we need to apply the distributive property and combine like terms. Here are the steps:
Distribute the 4 to the terms inside the parentheses:
4(3x + y) = 12x + 4y
Distribute the 2 to the terms inside the parentheses:
2(x - 5y) = 2x - 10y
Combine the like terms:
12x + 4y + 2x - 10y + x^2
= (12x + 2x) + (4y - 10y) + x^2
= 14x - 6y + x^2
Therefore, the simplest form of the expression 4(3x + y) + 2(x-5y) + x^2 is 14x - 6y + x^2.