Question

Which expression shows the sum of the polynomials with like terms grouped together?

1) (3x + 3z - 8z²) + (4y - 5z)
2) (3x + 3z - 8z²) - (4y - 5z)
3) (3x + 3z - 8z²) * (4y - 5z)
4) (3x + 3z - 8z²) / (4y - 5z)

Answer 1

The expression that shows the sum of the polynomials with like terms grouped together is (3x + 3z - 8z²) + (4y - 5z).

Step-by-step explanation:

The expression that shows the sum of the polynomials with like terms grouped together is option 1) (3x + 3z - 8z²) + (4y - 5z).

To find the sum of two polynomials, you simply add the coefficients of the like terms. In this case, the like terms are 3x and 4y, 3z and -5z, and -8z². So, the sum will be (3x + 4y) + (3z - 5z) - 8z², which simplifies to 3x + 4y - 2z - 8z².