Simplify (7x^4+x^3)-(6x^4+4x^3+3)

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

Step 1

Simplify each term.

Apply the distributive property.

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

Simplify.

Multiply $6$ by $- 1$ .

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

Multiply $4$ by $- 1$ .

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

Multiply $- 1$ by $3$ .

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

Step 2

Simplify by adding terms.

Subtract $6 x^{4}$ from $7 x^{4}$ .

$x^{4} + x^{3} - 4 x^{3} - 3$

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

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