What is factor x+y+xz+yz+xz^2+yz^2 ?

The solution to factor x+y+xz+yz+xz^2+yz^2 is (z^2+1+z)(x+y)

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factor x+y+xz+yz+xz^2+yz^2

factor

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

(z^{2} + 1 + z) (x + y)

Solution steps

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

Factor out common term

x

= x (1 + z + z^{2}) + y + yz + y z^{2}

Factor out common term

y

= x (z^{2} + 1 + z) + y (1 + z + z^{2})

Factor out common term

(z^{2} + 1 + z)

= (z^{2} + 1 + z) (x + y)

x + x y + x y^{2} - 1 - y - y

x^{- 4 a - 6}

t^{12} - r^{3} s^{15}

\frac{2 \cdot 5 - 4}{5 - 5}

4 (x y)

What is factor x+y+xz+yz+xz^2+yz^2 ?
The solution to factor x+y+xz+yz+xz^2+yz^2 is (z^2+1+z)(x+y)