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

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

Step 1

Simplify each term.

Apply the distributive property.

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

Simplify.

Multiply $4$ by $- 1$ .

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

Multiply $- 1$ by $- 6$ .

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

Multiply $8$ by $- 1$ .

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

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

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

Step 2

Simplify by adding terms.

Subtract $8 x^{2}$ from $3 x^{2}$ .

$- 5 x^{2} + x - 4 - 4 x + 6$

Subtract $4 x$ from $x$ .

$- 5 x^{2} - 3 x - 4 + 6$

Add $- 4$ and $6$ .

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

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

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