Final answer:
To simplify the expression 2x(x-4)-3(x+5), first distribute the 2x and -3 to the terms inside the parentheses. Then combine like terms to get the final simplified expression.
Step-by-step explanation:
To simplify the expression 2x(x-4)-3(x+5), we use the distributive property.
First, we multiply 2x by both x and -4, which gives us 2x^2 - 8x.
Next, we multiply -3 by both x and 5, which gives us -3x - 15.
Now we combine like terms by adding the two resulting terms: 2x^2 - 8x - 3x - 15.
Finally, we simplify further by combining like terms again: 2x^2 - 11x - 15.