Write in Standard Form (2k^3-7k^2+3k)-(-4k^2+5k)

$(2 k^{3} - 7 k^{2} + 3 k) - (- 4 k^{2} + 5 k)$

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.

$2 k^{3} - 7 k^{2} + 3 k - (- 4 k^{2}) - (5 k)$

Multiply $- 4$ by $- 1$ .

$2 k^{3} - 7 k^{2} + 3 k + 4 k^{2} - (5 k)$

Multiply $5$ by $- 1$ .

$2 k^{3} - 7 k^{2} + 3 k + 4 k^{2} - 5 k$

Step 3

Simplify by adding terms.

Add $- 7 k^{2}$ and $4 k^{2}$ .

$2 k^{3} - 3 k^{2} + 3 k - 5 k$

Subtract $5 k$ from $3 k$ .

$2 k^{3} - 3 k^{2} - 2 k$