Add: $6 p + 4 q - r + 2 r - 5 p - 6, 11 q - 7 p + 2 r - 1$ and $2 q - 3 r + 4$ .

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Solution

Let us add the given expressions $6 p + 4 q - r + 2 r - 5 p - 6, 11 q - 7 p + 2 r - 1$ and $2 q - 3 r + 4$ as shown below:

$(6 p + 4 q - r) + (2 r - 5 p - 6) + (11 q - 7 p + 2 r - 1) + (2 q - 3 r + 4) = 6 p + 4 q - r + 2 r - 5 p - 6 + 11 q - 7 p + 2 r - 1 + 2 q - 3 r + 4 = (6 p - 5 p - 7 p) + (4 q + 11 q + 2 q) + (- r + 2 r + 2 r - 3 r) + (- 6 - 1 + 4) (C o m b i n i n g l i k e t e r m s) = (6 - 5 - 7) p + (4 + 11 + 2) q + (- 1 + 2 + 2 - 3) r - 3 = - 6 p + 17 q - 3$

Hence, $(6 p + 4 q - r) + (2 r - 5 p - 6) + (11 q - 7 p + 2 r - 1) + (2 q - 3 r + 4) = - 6 p + 17 q - 3$ .

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Add: 6p+4q−r+2r−5p−6,11q−7p+2r−1 and 2q−3r+4.

Add: $6 p + 4 q - r + 2 r - 5 p - 6, 11 q - 7 p + 2 r - 1$ and $2 q - 3 r + 4$ .