Plz fast:

5 .   If   f = x y z x 2 y 2 z 2 yz zx zy   and   g =   x - y   y - z y - x ,   then   f g   is   ; A   xy + yz + zx                                                         B   x 2 + y 2 + z 2 C   x 2 + y 2 + z 2 - xy - yz - zx           D   None   of   the   above .
 

f=xyzx2y2z2yzzxzyC1xC1C2yC2C3zC3f=1xyzx2y2z2x3y3z3xyzxyzxyzf=xyzxyzx2y2z2x3y3z3111f=x2y2z2x3y3z3111C1C1-C2C2C2-C3f=x2-y2  y2-z2  z2x3-y3  y3-z3  z3001f=x-yx+y  y-zy+z  z2x-yx2+y2+xy  y-zy2+z2+yz  z3001f=x-yy-zx+y  y+z  z2x2+y2+xy  y2+z2+yz  z3001C1C1-C2f=x-yy-zx-z  y+z  z2x2-z2+xy-yz  y2+z2+yz  z3001f=x-yy-zx-z  y+z  z2x-zx+z+yx-z  y2+z2+yz  z3001f=x-yy-zx-z  y+z  z2x-zx+y+z  y2+z2+yz  z3001f=x-yy-zx-z1  y+z  z2x+y+z  y2+z2+yz  z3001f=x-yy-zx-z1  y+z  z2x+y+z  y2+z2+yz  z3001Expand along R3f=x-yy-zx-zy2+z2+yz-x+y+zy+zf=x-yy-zx-zy2+z2+yz-xy+z+y+z2f=x-yy-zx-zy2+z2+yz-xy+xz+y2+z2+2yzf=x-yy-zx-z-xy-yz-zxf=x-yy-z-1z-x-1xy+yz+zxf=x-yy-zz-xxy+yz+zxfg=x-yy-zz-xxy+yz+zxx-yy-zz-x=xy+yz+zx

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