Simplify (-6a^5+3a^3-2a^2+1)-(4a^2+3a-7)

$(- 6 a^{5} + 3 a^{3} - 2 a^{2} + 1) - (4 a^{2} + 3 a - 7)$

Step 1

Simplify each term.

Apply the distributive property.

$- 6 a^{5} + 3 a^{3} - 2 a^{2} + 1 - (4 a^{2}) - (3 a) - - 7$

Simplify.

Multiply $4$ by $- 1$ .

$- 6 a^{5} + 3 a^{3} - 2 a^{2} + 1 - 4 a^{2} - (3 a) - - 7$

Multiply $3$ by $- 1$ .

$- 6 a^{5} + 3 a^{3} - 2 a^{2} + 1 - 4 a^{2} - 3 a - - 7$

Multiply $- 1$ by $- 7$ .

$- 6 a^{5} + 3 a^{3} - 2 a^{2} + 1 - 4 a^{2} - 3 a + 7$

Step 2

Simplify by adding terms.

Subtract $4 a^{2}$ from $- 2 a^{2}$ .

$- 6 a^{5} + 3 a^{3} - 6 a^{2} + 1 - 3 a + 7$

Add $1$ and $7$ .

$- 6 a^{5} + 3 a^{3} - 6 a^{2} - 3 a + 8$