Question

(3x^2+2-x^3) - (-5x^3+2x^2+1) Express the answer in standard form. Enter your answer in the box.

Answer 1

`4 {x}^(3) + {x}^(2) + 1`

solution,

`3 {x}^(2) + 2 - {x}^(3) - ( - 5 {x}^(3) + 2 {x}^(2) + 1) \\ = 3 {x}^(2) + 2 - {x}^(3) + 5 {x}^(3) - 2 {x}^(2) - 1 \\ = 3 {x}^(2) - {2x}^(2) + 2 - 1 - {x}^(3) + 5 {x}^(3) \\ = {x}^(2) + 1 + 4 {x}^(3) \\ = 4 {x}^(3) + {x}^(2) + 1`

Hope this helps...

Good luck on your assignment..

Answer 2

3x³ + x² - 1

Explanation:

Step 1: Rewrite expressions

(3x² - 2x³) - (-5x³ + 2x² +1)

Step 2: Distribute negative

3x² - 2x³ + 5x³ - 2x² - 1

Step 3: Combine like terms

3x³ + x² -1