Find the difference between 2x - 3y + 2 and 5x + 2y - 3.
Solution:
Using the definition of subtraction and putting together similar terms, we have:
(2x - 3y + 2) - (5x + 2y - 3)
= 2x - 3y + 2 - 5x - 2y + 3
= 2x - 5x - 3y - 2y + 2 + 3
= - 3x - 5y + 5
Or, we can rearrange them in rows and subtract by changing the signs of each term in second row.
2x - 3y + 2
- 5x - 2y + 3
- 3x - 5y + 5
Find the sum of 3x - 2y + 6 and x + 4y - 2.
Solution:
First rearrange the terms by putting together similar terms.
(3x - 2y + 6) + (x + 4y - 2)
= 3x + x - 2y + 4y + 6 - 2
= 4x + 2y + 4
Or, we can arrange the polynomials in rows and add the terms vertically.
3x - 2y + 6
+ x + 4y - 2
4x + 2y + 4
