Simplify -7x^2+4x+2 from x^2-3

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

Write the problem as a mathematical expression.

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

Simplify each term.

Apply the distributive property.

$x^{2} - 3 - (- 7 x^{2}) - (4 x) - 1 \cdot 2$

Simplify.

Multiply $- 7$ by $- 1$ .

$x^{2} - 3 + 7 x^{2} - (4 x) - 1 \cdot 2$

Multiply $4$ by $- 1$ .

$x^{2} - 3 + 7 x^{2} - 4 x - 1 \cdot 2$

Multiply $- 1$ by $2$ .

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

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

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

Simplify by adding terms.

Add $x^{2}$ and $7 x^{2}$ .

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

Subtract $2$ from $- 3$ .

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

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

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