[34.a(a+b-c)-bc],[35.a^(3)+a-3a^(2)-3]

If |{:(bc-a^(2),ac-b^(2),ab-c^(2)),(ac-b^(2),ab-c^(2),bc-a^(2)),(ab-c^(2),bc-a^(2),ac-b^(2)):}|=k(a^(3)+b^(3)+c^(3)-3abc)^(l) then the value of (k, l) is

Factorise : bc(b^(3)-c^(3))+ca(c^(3)-a^(3))+ab(a^(3)-b^(3))

Find the GCD for the following : ab^(2) c^(3) , a^(2) b^(3) c, a^(3) bc^(2)

If a = 1 , b = 2 , c = 3 , then find then value of (2a^(2)+2b^(2)+2c^(2)-ab-bc-ca)/(a^(3)+b^(3)+c^(3)-3abc)

If a= 2, b= 3 and c= 4, find the value of : (ab + bc + ca- a^(2) -b^(2)-c^(2))/(3abc-a^(3)-b^(3)-c^(3)) , using suitable identity

If a+b+c=0, then which of the following are correct? 1. a^(3) + b^(3) + c^(3) = 3abc 2. a^(2) + b^(2) + c^(2) = -2(ab + bc + ca) 3. a^(3) + b^(3) + c^(3) = -3ab(a+b) Select the correct answer using the code given below

Which of the following is equivalent to (2b^(3)c^(2)+b^(2)c)-(b^(3)c^(2)-b^(2)c-4bc) ?

The expression (a-b)^(3)+(b-c)^(3)+(c-a)^(3) can be factorized as (a)(a-b)(b-c)(c-a)(b)3(a-b)(b-c)(c-a)(c)-3(a-b)(b-c)(c-a)(d)(a+b+c)(a^(2)+b^(2)+c^(2)-ab-bc-ca)