Simplify (4x^3+13x-7)-(6x^2+9x+2)

$(4 x^{3} + 13 x - 7) - (6 x^{2} + 9 x + 2)$

Step 1

Simplify each term.

Apply the distributive property.

$4 x^{3} + 13 x - 7 - (6 x^{2}) - (9 x) - 1 \cdot 2$

Simplify.

Multiply $6$ by $- 1$ .

$4 x^{3} + 13 x - 7 - 6 x^{2} - (9 x) - 1 \cdot 2$

Multiply $9$ by $- 1$ .

$4 x^{3} + 13 x - 7 - 6 x^{2} - 9 x - 1 \cdot 2$

Multiply $- 1$ by $2$ .

$4 x^{3} + 13 x - 7 - 6 x^{2} - 9 x - 2$

Step 2

Simplify by adding terms.

Subtract $9 x$ from $13 x$ .

$4 x^{3} + 4 x - 7 - 6 x^{2} - 2$

Simplify the expression.

Subtract $2$ from $- 7$ .

$4 x^{3} + 4 x - 6 x^{2} - 9$

Move $4 x$ .

$4 x^{3} - 6 x^{2} + 4 x - 9$