Evaluate (7x^2-2)-(2x^2-5x+3)

$(7 x^{2} - 2) - (2 x^{2} - 5 x + 3)$

Step 1

Simplify each term.

Apply the distributive property.

$7 x^{2} - 2 - (2 x^{2}) - (- 5 x) - 1 \cdot 3$

Simplify.

Multiply $2$ by $- 1$ .

$7 x^{2} - 2 - 2 x^{2} - (- 5 x) - 1 \cdot 3$

Multiply $- 5$ by $- 1$ .

$7 x^{2} - 2 - 2 x^{2} + 5 x - 1 \cdot 3$

Multiply $- 1$ by $3$ .

$7 x^{2} - 2 - 2 x^{2} + 5 x - 3$

$7 x^{2} - 2 - 2 x^{2} + 5 x - 3$

$7 x^{2} - 2 - 2 x^{2} + 5 x - 3$

Step 2

Simplify by adding terms.

Subtract $2 x^{2}$ from $7 x^{2}$ .

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

Subtract $3$ from $- 2$ .

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

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

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