Which expression shows the sum of the polynomials with like terms grouped together? (8x+3z-8z^2)+(4y-5z)

A). [8x+4y+(-8z^2)]+3z+(-5z)

B). 8x+4y+[3z+(-8z^2)+(-5z)]

C). [8x+(-8z^2)]+4y+[3z+(-5z)]

D). 8x+4y+(-8z^2)+[3z+(-5z)]

Respuesta :

8x+4y+(-8z^2)+[3z+(-5z)] the answer is D

we are given

[tex](8x+3z-8z^2)+(4y-5z)[/tex]

we can group x-terms with x and y-terms with y and z terms with z

so, we get

[tex]=8x+3z-8z^2+4y-5z[/tex]

we can make groups

[tex]=8x+4y+3z-8z^2-5z[/tex]

[tex]=8x+4y+3z-5z-8z^2[/tex]

we can also write it as

[tex]=8x+4y+(-8z^2)+[3z+(-5z)][/tex]

so, option-D.........Answer