Verified Answer :

(5x^2 + x - 4)(x + 2) =
x(5x^2 + x - 4) + 2(5x^2 + x - 4) = 5x^3 + x^2 - 4x + 10x^2 + 2x - 8 =
5x^3 + 11x^2 - 2x - 8 <===

Answer: The answer is  \(5x^3+11x^2-2x-8\).

Step-by-step explanation:

Here, the given expression is,

\((5x^2+x-4)(x+2)\)

By multiplying,

\(=(5x^2+x-4)x + (5x^2+x-4)2\)

\(=5x^3+x^2-4x+10x^2+2x-8\)

\(=5x^3+11x^2-2x-8\)

Thus, We can write,

\((5x^2+x-4)(x+2)=5x^3+11x^2-2x-8\)