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perform the following additions and/or subtractions: ((5v^{3}+3v^{2}+8v…

Question

perform the following additions and/or subtractions: ((5v^{3}+3v^{2}+8v)+(v^{2}+9v + 7)=) question help: video ebook message instructor submit

Explanation:

Step1: Remove parentheses

$(5v^3 + 3v^2 + 8v) + (v^2 + 9v + 7) = 5v^3 + 3v^2 + 8v + v^2 + 9v + 7$

Step2: Combine like $v^2$ terms

$5v^3 + (3v^2 + v^2) + 8v + 9v + 7 = 5v^3 + 4v^2 + 8v + 9v + 7$

Step3: Combine like $v$ terms

$5v^3 + 4v^2 + (8v + 9v) + 7 = 5v^3 + 4v^2 + 17v + 7$

Answer:

$5v^3 + 4v^2 + 17v + 7$