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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)]

2 Answers

2 votes
8x+4y+(-8z^2)+[3z+(-5z)] the answer is D
User Sergey Maslov
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6.9k points
3 votes

we are given


(8x+3z-8z^2)+(4y-5z)

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

so, we get


=8x+3z-8z^2+4y-5z

we can make groups


=8x+4y+3z-8z^2-5z


=8x+4y+3z-5z-8z^2

we can also write it as


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

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

User Jesper Nordenberg
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6.2k points