Simplify (6x^2-x+1)-(-4+2x^2+8x)

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

Step 1

Simplify each term.

Apply the distributive property.

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

Simplify.

Multiply $- 1$ by $- 4$ .

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

Multiply $2$ by $- 1$ .

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

Multiply $8$ by $- 1$ .

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

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

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

Step 2

Simplify by adding terms.

Subtract $2 x^{2}$ from $6 x^{2}$ .

$4 x^{2} - x + 1 + 4 - 8 x$

Subtract $8 x$ from $- x$ .

$4 x^{2} - 9 x + 1 + 4$

Add $1$ and $4$ .

$4 x^{2} - 9 x + 5$

$4 x^{2} - 9 x + 5$

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