自然科學題目，次方展開?

（x+y+z+w)的六次方展開=
z^6+6yz^5+6xz^5+6wz^5+15y^2z^4+30xyz^4+30wyz^4+15x^2z^4+30wxz^4+15w^2z^4+20y^3
z^3+60xy^2z^3+60wy^2z^3+60x^2yz^3+120wxyz^3+60w^2yz^3+20x^3z^3+60wx^2z^3+60w^2xz^3+20
w^3z^3+15y^4z^2+60xy^3z^2+60wy^3z^2+90x^2y^2z^2+180wxy^2z^2+90w^2y^2z^2+60x^3yz^2+180wx^2y
z^2+180w^2xyz^2+60w^3yz^2+15x^4z^2+60wx^3z^2+90w^2x^2z^2+60w^3xz^2+15w^4z^2+6y^5z+30xy^4
z+30wy^4z+60x^2y^3z+120wxy^3z+60w^2y^3z+60x^3y^2z+180wx^2y^2z+180w^2xy^2z+60w^3y^2z
+30x^4yz+120wx^3yz+180w^2x^2yz+120w^3xyz+30w^4yz+6x^5z+30wx^4z+60w^2x^3z+60w^3
x^2z+30w^4xz+6w^5z+y^6+6xy^5+6wy^5+15x^2y^4+30wxy^4+15w^2y^4+20x^3y^3+60wx^2y^3+60w^2
xy^3+20w^3y^3+15x^4y^2+60wx^3y^2+90w^2x^2y^2+60w^3xy^2+15w^4y^2+6x^5y+30wx^4y+60w^2x^3y+
60w^3x^2y+30w^4xy+6w^5y+x^6+6wx^5+15w^2x^4+20w^3x^3+15w^4x^2+6w^5x+w^6
設x=1,y=1,z=1,w=1
(x+y+z+w)^6=(1+1+1+1)^6=4096