The sum of two polynomials is –yz2 – 3z2 – 4y + 4. if one of the polynomials is y – 4yz2 – 3, what is the other polynomial?

Let's call the two polynomials . Assume, for example, that is the known one. So, we have two pieces of information:

If you subtract the first equation from the second, you get

The left hand side evaluates to , so the right hand side is its expression:

And if you sum like terms you get

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