Write in Standard Form (12a^5-6a-10a^3)-(10a-2a^5-14a^4)

$(12 a^{5} - 6 a - 10 a^{3}) - (10 a - 2 a^{5} - 14 a^{4})$

Step 1

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c$

Step 2

Simplify each term.

Apply the distributive property.

$12 a^{5} - 6 a - 10 a^{3} - (10 a) - (- 2 a^{5}) - (- 14 a^{4})$

Simplify.

Multiply $10$ by $- 1$ .

$12 a^{5} - 6 a - 10 a^{3} - 10 a - (- 2 a^{5}) - (- 14 a^{4})$

Multiply $- 2$ by $- 1$ .

$12 a^{5} - 6 a - 10 a^{3} - 10 a + 2 a^{5} - (- 14 a^{4})$

Multiply $- 14$ by $- 1$ .

$12 a^{5} - 6 a - 10 a^{3} - 10 a + 2 a^{5} + 14 a^{4}$

Step 3

Simplify by adding terms.

Add $12 a^{5}$ and $2 a^{5}$ .

$14 a^{5} - 6 a - 10 a^{3} - 10 a + 14 a^{4}$

Subtract $10 a$ from $- 6 a$ .

$14 a^{5} - 10 a^{3} - 16 a + 14 a^{4}$

Reorder.

Move $- 16 a$ .

$14 a^{5} - 10 a^{3} + 14 a^{4} - 16 a$

Move $- 10 a^{3}$ .

$14 a^{5} + 14 a^{4} - 10 a^{3} - 16 a$