Simplify (24x^3-16x^2)-(6x^3+18x^2-14)

$(24 x^{3} - 16 x^{2}) - (6 x^{3} + 18 x^{2} - 14)$

Step 1

Simplify each term.

Apply the distributive property.

$24 x^{3} - 16 x^{2} - (6 x^{3}) - (18 x^{2}) - - 14$

Simplify.

Multiply $6$ by $- 1$ .

$24 x^{3} - 16 x^{2} - 6 x^{3} - (18 x^{2}) - - 14$

Multiply $18$ by $- 1$ .

$24 x^{3} - 16 x^{2} - 6 x^{3} - 18 x^{2} - - 14$

Multiply $- 1$ by $- 14$ .

$24 x^{3} - 16 x^{2} - 6 x^{3} - 18 x^{2} + 14$

Step 2

Simplify by adding terms.

Subtract $6 x^{3}$ from $24 x^{3}$ .

$18 x^{3} - 16 x^{2} - 18 x^{2} + 14$

Subtract $18 x^{2}$ from $- 16 x^{2}$ .

$18 x^{3} - 34 x^{2} + 14$