Answer: Step 1: Reverse the signs of
expression.
Step 2: Removing parenthesis
Step 3: Grouping like terms
Step 4: Combing like terms
Step 5: Writing the final expression in standard form
Step-by-step explanation: First expression :![6x^3-2x + 3](https://tex.z-dn.net/?f=6x%5E3-2x%20%2B%203)
Second expression :
.
We need to subtract
from
.
Step 1: Reverse the signs of
expression.
![(-3x^3+5x^2+4x-7)+(-6x3+2x-3)](https://tex.z-dn.net/?f=%28-3x%5E3%2B5x%5E2%2B4x-7%29%2B%28-6x3%2B2x-3%29)
Step 2: Removing parenthesis
![(-3x^3) +5x^2+4x + (-7) + (-6x^3) + 2x + (-3)](https://tex.z-dn.net/?f=%28-3x%5E3%29%20%2B5x%5E2%2B4x%20%2B%20%28-7%29%20%2B%20%28-6x%5E3%29%20%2B%202x%20%2B%20%28-3%29)
Step 3: Grouping like terms
![[-3x^3) + (-6x^3)] + [4x + 2x] + [(-7) + (-3)] + [5x^2]](https://tex.z-dn.net/?f=%5B-3x%5E3%29%20%2B%20%28-6x%5E3%29%5D%20%2B%20%5B4x%20%2B%202x%5D%20%2B%20%5B%28-7%29%20%2B%20%28-3%29%5D%20%2B%20%5B5x%5E2%5D)
Step 4: Combing like terms
![-9x^3 + 6x + (-10) + 5x^2](https://tex.z-dn.net/?f=-9x%5E3%20%2B%206x%20%2B%20%28-10%29%20%2B%205x%5E2)
Step 5: Writing the final expression in standard form
![-9x^3 + 5x^2 + 6x-10](https://tex.z-dn.net/?f=-9x%5E3%20%2B%205x%5E2%20%2B%206x-10)