Q3) Add the following:
(i) ab - bc, bc - ca, ca - ab
(ii) a - b + ab, b - c + bc, c - a + ac
(iii) 2p^2q^2-3pq+4,\ 5+7pq-3p^2q^2
(iv) l^2+m^2,\ m^2+n^2,n^2+l^2+2lm+2mn+2n
Solution:
(i) ab - bc, bc - ca, ca - ab
(ii) a - b + ab, b - c + bc, c - a + ac
Hence the sum if 0.
Hence the sum is ab + bc + ac
(iii) 2p^2q^2-3pq+4,5+7pq-3p^2q^2
(iv) l^2+m^2,m^2+n^2,n^2+l^2,2lm+2mn+2nl
Hence the sum is -p^2q^2+4pq+9
Hence the sum is
2\left(l^2+m^2+n^2+lm+mn+nl\right)
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