Respuesta :
(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 <===
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 [tex]5x^3+11x^2-2x-8[/tex].
Step-by-step explanation:
Here, the given expression is,
[tex](5x^2+x-4)(x+2)[/tex]
By multiplying,
[tex]=(5x^2+x-4)x + (5x^2+x-4)2[/tex]
[tex]=5x^3+x^2-4x+10x^2+2x-8[/tex]
[tex]=5x^3+11x^2-2x-8[/tex]
Thus, We can write,
[tex](5x^2+x-4)(x+2)=5x^3+11x^2-2x-8[/tex]