• # question_answer3)                 Add the following:                 (i) $ab-bc,\,bc-ca,\,ca-ab$ (ii) $a-b+ab,\,b-c+bc,\,c-a+ac$ (iii) $2{{p}^{2}}{{q}^{2}}-3pq+4,\,5+7pq-3{{p}^{2}}{{q}^{2}}$ (iv) ${{l}^{2}}+{{m}^{2}},\,{{m}^{2}}+{{n}^{2}},\,{{n}^{2}}+{{l}^{2}},\,2lm\,+2mn+2nl$.

(i) $ab-bc,\,bc-ca,\,ca-ab$  $ab-bc$ + $+bc-ca$ + $-ab$ $ca$ 0
(ii) $a-b+ab,\,b-c+bc,\,c-a+ac$  $a-b+ab$ + $+b$ $-c+bc$ + $-a$ $+c$ $+ac$ $ab+bc$$+ac$
(iii) $2{{p}^{2}}{{q}^{2}}-3pq+4,\,5+7pq-3{{p}^{2}}{{q}^{2}}$  $2{{p}^{2}}{{q}^{2}}-3pq+4$ + $-3{{p}^{2}}{{q}^{2}}+7pq+5$ $-{{p}^{2}}{{q}^{2}}+4pq+9$
(iv) ${{l}^{2}}+{{m}^{2}},\,{{m}^{2}}+{{n}^{2}},\,{{n}^{2}}+{{l}^{2}},\,2lm\,+2mn+2nl$.  ${{l}^{2}}+{{m}^{2}}$ + $+{{m}^{2}}+{{n}^{2}}$ + ${{l}^{2}}$ $+{{n}^{2}}$ + $+2lm+2mn+2nl$ $2{{l}^{2}}+2{{m}^{2}}+2{{n}^{2}}+2lm\,+2mn\,+2nl$ $=2({{l}^{2}}+{{m}^{2}}+{{n}^{2}}+lm\,+mn\,+nl)$

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