Simplify (3a^2-3bc^2+4bc)-(-8a^2+5bc)

$(3 a^{2} - 3 b c^{2} + 4 b c) - (- 8 a^{2} + 5 b c)$

Step 1

Simplify each term.

Apply the distributive property.

$3 a^{2} - 3 b c^{2} + 4 b c - (- 8 a^{2}) - (5 b c)$

Multiply $- 8$ by $- 1$ .

$3 a^{2} - 3 b c^{2} + 4 b c + 8 a^{2} - (5 b c)$

Multiply $5$ by $- 1$ .

$3 a^{2} - 3 b c^{2} + 4 b c + 8 a^{2} - 5 b c$

Step 2

Simplify by adding terms.

Add $3 a^{2}$ and $8 a^{2}$ .

$11 a^{2} - 3 b c^{2} + 4 b c - 5 b c$

Subtract $5 b c$ from $4 b c$ .

$11 a^{2} - 3 b c^{2} - b c$