Simplify (4x^3+3x^2-6x)-(10x^3+3x^2)

$(4 x^{3} + 3 x^{2} - 6 x) - (10 x^{3} + 3 x^{2})$

Simplify each term.

Apply the distributive property.

$4 x^{3} + 3 x^{2} - 6 x - (10 x^{3}) - (3 x^{2})$

Multiply $10$ by $- 1$ .

$4 x^{3} + 3 x^{2} - 6 x - 10 x^{3} - (3 x^{2})$

Multiply $3$ by $- 1$ .

$4 x^{3} + 3 x^{2} - 6 x - 10 x^{3} - 3 x^{2}$

Simplify by adding terms.

Combine the opposite terms in $4 x^{3} + 3 x^{2} - 6 x - 10 x^{3} - 3 x^{2}$ .

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

$4 x^{3} - 6 x - 10 x^{3} + 0$

Add $4 x^{3} - 6 x - 10 x^{3}$ and $0$ .

$4 x^{3} - 6 x - 10 x^{3}$

Subtract $10 x^{3}$ from $4 x^{3}$ .

$- 6 x^{3} - 6 x$