Simplify (8b^3-6+3b^4)-(b^4-7b^3-3)

$(8 b^{3} - 6 + 3 b^{4}) - (b^{4} - 7 b^{3} - 3)$

Step 1

Simplify each term.

Apply the distributive property.

$8 b^{3} - 6 + 3 b^{4} - b^{4} - (- 7 b^{3}) - - 3$

Simplify.

Multiply $- 7$ by $- 1$ .

$8 b^{3} - 6 + 3 b^{4} - b^{4} + 7 b^{3} - - 3$

Multiply $- 1$ by $- 3$ .

$8 b^{3} - 6 + 3 b^{4} - b^{4} + 7 b^{3} + 3$

Step 2

Simplify by adding terms.

Add $8 b^{3}$ and $7 b^{3}$ .

$- 6 + 3 b^{4} - b^{4} + 15 b^{3} + 3$

Add $- 6$ and $3$ .

$3 b^{4} - b^{4} + 15 b^{3} - 3$

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

$2 b^{4} + 15 b^{3} - 3$