Question

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

-4m + 8n - 4p
4m + 8n + 4p
4m - 8n - 4p
4m + 8n - 4p

Answer 1

հҽվ!

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$5m + 3n + p - 5p + 3n + 2n - m \\ \\ Adding \: all \\ \\ 5m - m + 3n + 3n + 2n - 5p + p \\ \\ 4m + 6n + 2n - 4p \\ \\ 4m + 8n - 4p \\ \\ hence\: last \:one\: is\: correct \:option$

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Answer 2

Step by step solution :

Step  1  :

Equation at the end of step  1  :

(((((((4m+8n)-((4•(p4))•m))+8n)+((4•(p4))•m))-8n)-(22p4•m))+8n)-4p

Step  2  :

Equation at the end of step  2  :

(((((((4m+8n)-((4•(p4))•m))+8n)+(22p4•m))-8n)-22mp4)+8n)-4p

Step  3  :

Equation at the end of step  3  :

(((((((4m+8n)-(22p4•m))+8n)+22mp4)-8n)-22mp4)+8n)-4p

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   -4mp4 + 4m + 16n - 4p  = 

  -4 • (mp4 - m - 4n + p) 

Checking for a perfect cube :

 5.2    mp4 - m - 4n + p  is not a perfect cube