Question

factorise the polynomial: ( a + b )^3 + ( b + c )^3 + ( c + a )^3 - 3( a+b )( b+c )( c+a )​

Answer 1

Answer:tis is it

Step-by-step explanation:

Let  a−b=x,b−c=y,c−a=z.  It is obvious that:

x+y+z=0

Hence  x3+y3+z3−3xyz=(x+y+z)(x2+y2+z2−xy−xz−yz)=0

x3+y3+z3=3xyz

There,as simple as that.