Question

The sum of two polynomials is -yz to the second power-3z to the second power-4y+4. If one of the polynomials is y-4yz to the second power-3, what is the other polynomial?

Answer 1

Answer:

- 5yz^2 - 3z^2 - 5y + 7

Step-by-step explanation:

The polynomial is:

$-yz^2-3z^2-4y+4$   ( 1 )

this polynomial is the result of the sum of two polynomials, one of them given by

$y-4yz^2-3$     ( 2 )

if you find to know what is the other polynomial, you can take the difference between the polynomial (1) and (2). It is necessary to take the difference between simmilar terms, as follow:

 - yz^2 - 3z^2 - 4y + 4

- (4yz^2          + y   - 3  )

 - yz^2 - 3z^2 - 4y + 4

- 4yz^2           - y   + 3  

- 5yz^2 - 3z^2 - 5y + 7

hence the other polynomial is - 5yz^2 - 3z^2 - 5y + 7