Answer
$2x^2+7x-4$
Work Step by Step
We start with the given expression: $(x+4)(2x-1)$
To simplify an algebraic expression, we must eliminate any parentheses and combine like terms.
We use the distributive property to multiply the binomials and remove the parentheses: $2x^2+4(2x)-1(x)-1(4)$
We multiply each term to simplify them: $2x^2+8x-x-4$
We combine the like terms by subtracting: $2x^2+7x-4$
