3. Add the following.
(i) ab – bc, bc – ca, ca – ab
(ii) a – b + ab, b – c + bc, c – a + ac
(iii) 2p2q2 – 3pq + 4, 5 + 7pq – 3p2q2
(iv) l2 + m2, m2 + n2, n2 + l2, 2lm + 2mn + 2nl
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Answer:
(i) 0
(ii) ab + bc + ca
(iii) 9 + 4pq - p^2q^2
(iv) 2 [l^2 + m^2 + n^2 + lm + mn + nl]
Step-by-step explanation:
(i) ab - bc, bc - ca, ca - ab
=ab - bc + bc - ca + ca - ab
= 0
(ii) a - b + ab, b - c + bc, c - a + ac
= a - b + ab + b - c + bc + c - a + ac
= ab + bc + ca
(iii) 2p^2q^2 - 3pq + 4 + 5 + 7pq - 3p^2q^2
= 9 + 4pq - p^2q^2
(iv) l^2 + m^2 + m^2 + n^2 + n^2 + l^2 + 2lm + 2mn + 2nl
= 2l^2 + 2m^2+ 2n^2 + 2lm + 2mn + 2nl
= 2 [l^2 + m^2 + n^2 + lm + mn + nl]
Tanupujar:
Thank You very much
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