Respuesta :

Answer: [tex]24x^{3}-15x^{2}-9x[/tex]


Step-by-step explanation:

To solve the problem shown in the image attached and find the product of the expression, you must apply a property called  Distributive property of multiplication. This means that you must multiply each term inside the parentheses by [tex]-3x[/tex]. Then, you have:

[tex]-3x(-8x^{2}+5x+3)=(-3x)(-8x^{2})+(-3x)(+5x)+(-3x)(3)=24x^{3}-15x^{2}-9x[/tex]

Therefore, the product is: [tex]24x^{3}-15x^{2}-9x[/tex]



Answer:

The answer is the option C

[tex]24x^{3}-15x^{2}-9x[/tex]

Step-by-step explanation:

we have

[tex]-3x(-8x^{2} +5x+3)[/tex]

Applying the distributive property

[tex]-3x(-8x^{2} +5x+3)=-3x*(-8x^{2})-3x*(5x)-3x*(3)\\=24x^{3}-15x^{2}-9x[/tex]