Simplify (x^2+y^2x+z)-(-x+xy^2-z)

$(x^{2} + y^{2} x + z) - (- x + x y^{2} - z)$

Step 1

Simplify each term.

Apply the distributive property.

$x^{2} + y^{2} x + z - - x - (x y^{2}) - - z$

Simplify.

Multiply $- - x$ .

Multiply $- 1$ by $- 1$ .

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

Multiply $x$ by $1$ .

$x^{2} + y^{2} x + z + x - (x y^{2}) - - z$

Multiply $- - z$ .

Multiply $- 1$ by $- 1$ .

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

Multiply $z$ by $1$ .

$x^{2} + y^{2} x + z + x - x y^{2} + z$

Step 2

Simplify by adding terms.

Combine the opposite terms in $x^{2} + y^{2} x + z + x - x y^{2} + z$ .

Reorder the factors in the terms $y^{2} x$ and $- x y^{2}$ .

$x^{2} + y^{2} x + z + x - y^{2} x + z$

Subtract $y^{2} x$ from $y^{2} x$ .

$x^{2} + z + x + 0 + z$

Add $x^{2} + z + x$ and $0$ .

$x^{2} + z + x + z$

Add $z$ and $z$ .

$x^{2} + x + 2 z$