Simplify (5x+2x^2-3)-(6+x^2-8x)

$(5 x + 2 x^{2} - 3) - (6 + x^{2} - 8 x)$

Step 1

Simplify each term.

Apply the distributive property.

$5 x + 2 x^{2} - 3 - 1 \cdot 6 - x^{2} - (- 8 x)$

Simplify.

Multiply $- 1$ by $6$ .

$5 x + 2 x^{2} - 3 - 6 - x^{2} - (- 8 x)$

Multiply $- 8$ by $- 1$ .

$5 x + 2 x^{2} - 3 - 6 - x^{2} + 8 x$

$5 x + 2 x^{2} - 3 - 6 - x^{2} + 8 x$

$5 x + 2 x^{2} - 3 - 6 - x^{2} + 8 x$

Step 2

Simplify by adding terms.

Add $5 x$ and $8 x$ .

$13 x + 2 x^{2} - 3 - 6 - x^{2}$

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

$13 x + x^{2} - 3 - 6$

Simplify the expression.

Subtract $6$ from $- 3$ .

$13 x + x^{2} - 9$

Reorder $13 x$ and $x^{2}$ .

$x^{2} + 13 x - 9$

$x^{2} + 13 x - 9$

$x^{2} + 13 x - 9$

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