To simplify the expression x² + 4 * 1/2(7x+y), we can apply the distributive property.
First, let's simplify the expression within the parentheses:
1/2(7x+y) = (1/2) * 7x + (1/2) * y = 7/2x + 1/2y
Now, we can substitute this simplified expression back into the original equation:
x² + 4 * (7/2x + 1/2y) = x² + 4 * 7/2x + 4 * 1/2y = x² + (28/2)x + 2y = x² + 14x + 2y
So, the simplified expression is x² + 14x + 2y.
