Simplify (2x^2-5x+3)-(-x^2+4x-5)

$(2 x^{2} - 5 x + 3) - (- x^{2} + 4 x - 5)$

Step 1

Simplify each term.

Apply the distributive property.

$2 x^{2} - 5 x + 3 - - x^{2} - (4 x) - - 5$

Simplify.

Multiply $- - x^{2}$ .

Multiply $- 1$ by $- 1$ .

$2 x^{2} - 5 x + 3 + 1 x^{2} - (4 x) - - 5$

Multiply $x^{2}$ by $1$ .

$2 x^{2} - 5 x + 3 + x^{2} - (4 x) - - 5$

$2 x^{2} - 5 x + 3 + x^{2} - (4 x) - - 5$

Multiply $4$ by $- 1$ .

$2 x^{2} - 5 x + 3 + x^{2} - 4 x - - 5$

Multiply $- 1$ by $- 5$ .

$2 x^{2} - 5 x + 3 + x^{2} - 4 x + 5$

$2 x^{2} - 5 x + 3 + x^{2} - 4 x + 5$

$2 x^{2} - 5 x + 3 + x^{2} - 4 x + 5$

Step 2

Simplify by adding terms.

Add $2 x^{2}$ and $x^{2}$ .

$3 x^{2} - 5 x + 3 - 4 x + 5$

Subtract $4 x$ from $- 5 x$ .

$3 x^{2} - 9 x + 3 + 5$

Add $3$ and $5$ .

$3 x^{2} - 9 x + 8$

$3 x^{2} - 9 x + 8$

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