Simplify (7x^3-9x^2-14x)-(4x^3-4-x)

$(7 x^{3} - 9 x^{2} - 14 x) - (4 x^{3} - 4 - x)$

Simplify each term.

Apply the distributive property.

$7 x^{3} - 9 x^{2} - 14 x - (4 x^{3}) - - 4 - - x$

Simplify.

Multiply $4$ by $- 1$ .

$7 x^{3} - 9 x^{2} - 14 x - 4 x^{3} - - 4 - - x$

Multiply $- 1$ by $- 4$ .

$7 x^{3} - 9 x^{2} - 14 x - 4 x^{3} + 4 - - x$

Multiply $- - x$ .

Multiply $- 1$ by $- 1$ .

$7 x^{3} - 9 x^{2} - 14 x - 4 x^{3} + 4 + 1 x$

Multiply $x$ by $1$ .

$7 x^{3} - 9 x^{2} - 14 x - 4 x^{3} + 4 + x$

Simplify by adding terms.

Subtract $4 x^{3}$ from $7 x^{3}$ .

$3 x^{3} - 9 x^{2} - 14 x + 4 + x$

Add $- 14 x$ and $x$ .

$3 x^{3} - 9 x^{2} - 13 x + 4$