What is factor (x+y+z)(xy+xz+yz)-xyz ?

The solution to factor (x+y+z)(xy+xz+yz)-xyz is x^2y+x^2z+xy^2+xz^2+2xyz+yz^2+y^2z

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factor (x+y+z)(xy+xz+yz)-xyz

factor

(x + y + z) (x y + x z + yz) - x yz

x^{2} y + x^{2} z + x y^{2} + x z^{2} + 2 x yz + y z^{2} + y^{2} z

Solution steps

(x + y + z) (x y + x z + yz) - x yz

Expand

(x + y + z) (x y + x z + yz) : x^{2} y + x y^{2} + x^{2} z + 3 x yz + x z^{2} + y^{2} z + y z^{2}

= x^{2} y + x y^{2} + x^{2} z + 3 x yz + x z^{2} + y^{2} z + y z^{2} - x yz

Simplify

x^{2} y + x y^{2} + x^{2} z + 3 x yz + x z^{2} + y^{2} z + y z^{2} - x yz : x^{2} y + x^{2} z + x y^{2} + x z^{2} + 2 x yz + y z^{2} + y^{2} z

= x^{2} y + x^{2} z + x y^{2} + x z^{2} + 2 x yz + y z^{2} + y^{2} z

63

x y - b x + a y - ab

(a - 1)^{2} + 3 (a - 1) - 108

x^{2} - 10 + 25

[- 3.6]

What is factor (x+y+z)(xy+xz+yz)-xyz ?
The solution to factor (x+y+z)(xy+xz+yz)-xyz is x^2y+x^2z+xy^2+xz^2+2xyz+yz^2+y^2z