Subtract the sum of $(8 x - 6 y + 9 n^{2})$ and $(- 3 x - 4 y - n^{2})$ from the sum of $(9 x - 4 y + 3 n^{2})$ and $(- x - y - n^{2})$ .

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Solution

$(9 x - 4 y + 3 n^{2}) + (- x - y - n^{2}) - [(8 x - 6 y + 9 n^{2}) + (- 3 x - 4 y - n^{2})]$
$= (9 x - x - 4 y - y + 3 n^{2} - n^{2}) - [(8 x - 3 x - 6 y - 4 y + 9 n^{2} - n^{2})]$
$= (8 x - 5 y + n^{2}) - (5 x - 10 y + 8 n^{2})$
$= 8 x - 5 x - 5 y + 10 y + n^{2} - 8 n^{2}$
$= 3 x + 5 y - 7 n^{2}$
Ans $3 x + 5 y - 7 n^{2}$

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