Simplify (3x^5-2x^4-5)-(2x^4+x^2-10)

$(3 x^{5} - 2 x^{4} - 5) - (2 x^{4} + x^{2} - 10)$

Step 1

Simplify each term.

Apply the distributive property.

$3 x^{5} - 2 x^{4} - 5 - (2 x^{4}) - x^{2} - - 10$

Simplify.

Multiply $2$ by $- 1$ .

$3 x^{5} - 2 x^{4} - 5 - 2 x^{4} - x^{2} - - 10$

Multiply $- 1$ by $- 10$ .

$3 x^{5} - 2 x^{4} - 5 - 2 x^{4} - x^{2} + 10$

Step 2

Simplify by adding terms.

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

$3 x^{5} - 4 x^{4} - 5 - x^{2} + 10$

Add $- 5$ and $10$ .

$3 x^{5} - 4 x^{4} - x^{2} + 5$