Factorize the following equation `" "b^(2)+c^(2)+2(ab+bc+ca)`

Factorize each of the following expressions: ab(a^(2)+b^(2)-c^(2))+bc(a^(2)+b^(2)-c^(2))-ca(a^(2)+b^(2)-c^(2))

If a+b+c=0 then prove the following. a^(2)+b^(2)+c^(2) = -2(bc+ca+ab)

Factorize each of the following expressions: 6ab-b^(2)+12ac-2bc,a(a+b-c)-bc

Factorize: a^(2)+b^(2)+2(ab+bc+ca)

If a+b-c = 12 and a^2+b^2+c^2=110 , then which among the following relations is true ? यदि a+b-c = 12 और a^2+b^2+c^2=110 है, तो निम्न में से कौन सा संबंध सही है ? (p) ab+bc+ca = 3 (q)ab+bc-ca = 17 (r) ab-bc+ca = 17 (s) ab-bc-ca = 17

Prove the following : |{:(a,b,c),(a^(2),b^(2),c^(2)),(bc,ca,ab):}|=|{:(a,a^(2),bc),(b,b^(2),ca),(c,c^(2),ab):}|=(ab+bc+ca)(a-b)(b-c)(c-a) .