Answer: [tex]3yz^2-5y-3z^2+7[/tex]
Step-by-step explanation:
By definition, the sum is the result of the addition.
According to the information given in the exercise, the polynomial [tex]-yz^2 -3z^2-4y + 4[/tex] is obtained by adding the polynomial [tex]y - 4yz^2 - 3[/tex] and another polynomial.
Then, you can find the other polynomial by subtracting [tex]y - 4yz^2 - 3[/tex] from [tex]-yz^2 -3z^2-4y + 4[/tex]:
[tex](-yz^2 -3z^2-4y + 4)-(y - 4yz^2 - 3)[/tex]
So, the steps are:
1. You must distribute the negative sign:
[tex]=-yz^2 -3z^2-4y + 4-y + 4yz^2+ 3[/tex]
2. Finally, you need to add the like terms:
[tex]=3yz^2-5y-3z^2+7[/tex]
