C-03-Q090mediumsingle_mcq(x+y)(x2−xy+y2)+(y+z)(y2−yz+z2)+(z+x)(z2−zx+x2)=?(x+y)(x^2 - xy + y^2) + (y+z)(y^2 - yz + z^2) + (z+x)(z^2 - zx + x^2) = ?(x+y)(x2−xy+y2)+(y+z)(y2−yz+z2)+(z+x)(z2−zx+x2)=?a2(x3+y3+z3)2(x^3 + y^3 + z^3)2(x3+y3+z3)bx3+y3+z3x^3 + y^3 + z^3x3+y3+z3c3xyz3xyz3xyzd000ব্যাখ্যাEach product is of the form (p+q)(p2−pq+q2)=p3+q3(p+q)(p^2-pq+q^2)=p^3+q^3(p+q)(p2−pq+q2)=p3+q3, so the sum becomes (x3+y3)+(y3+z3)+(z3+x3)=2(x3+y3+z3)(x^3+y^3)+(y^3+z^3)+(z^3+x^3)=2(x^3+y^3+z^3)(x3+y3)+(y3+z3)+(z3+x3)=2(x3+y3+z3).