Respuesta :

- 15y4 - 33y3 + y2 + 8 = - 33y3 + 3y2
- 15y4 - 2y3 + 8

We are given

[tex] -3y(5y^3+11y^2-y+8)=-15y^4-33y^3+3y^2-........?........ [/tex]

Firstly, we will simplify left side

and then we can compare it with right side

Left side:

[tex] -3y(5y^3+11y^2-y+8) [/tex]

We can distribute -3y

[tex] =-3y*5y^3+-3y*11y^2--3y*y+-3y*8 [/tex]

now, we can simplify it

[tex] =-15y^4-33y^3+3y^2-24y [/tex]

now, we can compare it with right side

we can see that only last term is missing

so, there should be -24y in last term

so, we get

[tex] -3y(5y^3+11y^2-y+8)=-15y^4-33y^3+3y^2-24y [/tex].................Answer