Simplify (-7x^2+4x+2)-(x^2-3)

$(- 7 x^{2} + 4 x + 2) - (x^{2} - 3)$

Step 1

Simplify each term.

Apply the distributive property.

$- 7 x^{2} + 4 x + 2 - x^{2} - - 3$

Multiply $- 1$ by $- 3$ .

$- 7 x^{2} + 4 x + 2 - x^{2} + 3$

$- 7 x^{2} + 4 x + 2 - x^{2} + 3$

Step 2

Simplify by adding terms.

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

$- 8 x^{2} + 4 x + 2 + 3$

Add $2$ and $3$ .

$- 8 x^{2} + 4 x + 5$

$- 8 x^{2} + 4 x + 5$

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