Simplify (4x^2-6x+8)-(3x^2-6x+2)

$(4 x^{2} - 6 x + 8) - (3 x^{2} - 6 x + 2)$

Step 1

Simplify each term.

Apply the distributive property.

$4 x^{2} - 6 x + 8 - (3 x^{2}) - (- 6 x) - 1 \cdot 2$

Simplify.

Multiply $3$ by $- 1$ .

$4 x^{2} - 6 x + 8 - 3 x^{2} - (- 6 x) - 1 \cdot 2$

Multiply $- 6$ by $- 1$ .

$4 x^{2} - 6 x + 8 - 3 x^{2} + 6 x - 1 \cdot 2$

Multiply $- 1$ by $2$ .

$4 x^{2} - 6 x + 8 - 3 x^{2} + 6 x - 2$

Step 2

Simplify by adding terms.

Combine the opposite terms in $4 x^{2} - 6 x + 8 - 3 x^{2} + 6 x - 2$ .

Add $- 6 x$ and $6 x$ .

$4 x^{2} + 8 - 3 x^{2} + 0 - 2$

Add $4 x^{2} + 8 - 3 x^{2}$ and $0$ .

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

Subtract $3 x^{2}$ from $4 x^{2}$ .

$x^{2} + 8 - 2$

Subtract $2$ from $8$ .

$x^{2} + 6$