Write in Standard Form (4a^3-3a-8)-(a-5)

$(4 a^{3} - 3 a - 8) - (a - 5)$

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.

$4 a^{3} - 3 a - 8 - a - - 5$

Multiply $- 1$ by $- 5$ .

$4 a^{3} - 3 a - 8 - a + 5$

Step 3

Simplify by adding terms.

Subtract $a$ from $- 3 a$ .

$4 a^{3} - 4 a - 8 + 5$

Add $- 8$ and $5$ .

$4 a^{3} - 4 a - 3$