Simplify (1-x+x^2)+(1+x-x^2)+(1-x^2+x^5)

$(1 - x + x^{2}) + (1 + x - x^{2}) + (1 - x^{2} + x^{5})$

Step 1

Remove parentheses.

$1 - x + x^{2} + 1 + x - x^{2} + 1 - x^{2} + x^{5}$

Step 2

Combine the opposite terms in $1 - x + x^{2} + 1 + x - x^{2} + 1 - x^{2} + x^{5}$ .

Add $- x$ and $x$ .

$1 + x^{2} + 1 + 0 - x^{2} + 1 - x^{2} + x^{5}$

Add $1 + x^{2} + 1$ and $0$ .

$1 + x^{2} + 1 - x^{2} + 1 - x^{2} + x^{5}$

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

$1 + 0 + 1 + 1 - x^{2} + x^{5}$

Add $1$ and $0$ .

$1 + 1 + 1 - x^{2} + x^{5}$

Step 3

Simplify by adding numbers.

Add $1$ and $1$ .

$2 + 1 - x^{2} + x^{5}$

Add $2$ and $1$ .

$3 - x^{2} + x^{5}$