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Mathematics 14 Online
OpenStudy (anonymous):

Find the sum of 5m + 3n + p, -5p + 3n, and 2n - m.

OpenStudy (anonymous):

group like terms and solve

OpenStudy (mathstudent55):

Since you are adding two polynomials, rewrite them with an addition sign between them. Then combine like terms.

OpenStudy (anonymous):

would it be 4m+8n+4p

OpenStudy (anonymous):

?

OpenStudy (anonymous):

add m to m n to n and p to p terms...

OpenStudy (mathstudent55):

5m + 3n + p + (-5p) + 3n + 2n - m You are correct with m and n, but check the p term.

OpenStudy (anonymous):

would it be - ?

OpenStudy (mathstudent55):

Yes, since you are adding p to -5p

OpenStudy (anonymous):

4m+8n-4p?

OpenStudy (anonymous):

?

OpenStudy (mathstudent55):

\(\color{red}{5m} + \color{blue}{3n} + p + (-5p) + \color{blue}{3n} + \color{blue}{2n} \color{red}{- m}\) \(=\color{red}{5m - m} + \color{blue}{3n + 3n + 2n} + p + (-5p)\) \(=\color{red}{4m} + \color{blue}{8n} -4p\)

OpenStudy (mathstudent55):

Correct.

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