Fractorise `a ^(3) - 8b ^(3) - 64 c^(3) - 24 abc`

Fractorise 27a ^(3) + b ^(3) + 8c^(3) -18-18 abc using identity.

Factorise : 27a^3 + 64b^3 .

Prove that a^(3) cos (B-C) + b^(3) cos (C - A) + c^(3) cos (A-B) = 3abc .

Divide the given polynomial by the given monomial 10 (a^(3) b^(2) c^(2) - a^(2) b^(3) c^(2) + a^(2) b^(2) c^(3)) div 2abc

If c^(2) ne ab and the roots of (c^(2)-ab)x^(2)-2(a^(2)-bc)x+(b^(2)-ac)=0 are equal, then show that a^(3)+b^(3)+c^(3)=3abc" or "a=0

If the straight lines ax + by + c= 0 , bx +cy + a = 0 and cx +ay + b =0 are concurrent , then prove that a^(3)+b^(3)+c^(3)=3abc .

Factorise 27a^3+b^3+8c^3-18abc using identity

If the straight lines ax+by+c=0, bx+cy+a=0 and cx+ay+b=0 are concurrent, then prove that a^(3)+b^(3)+c^(3)=3abc