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
Addition:
Ex.
1. 23 + 14 = 37
2. 39 + (-26) = 13
3. -43 + 35 = -8
4. -19 + (-16) = -35
Subtraction:
Ex.
1. 34 - 13 = 21
2. 53 - (-35) = 88
3. -26 - 9 = -35
4. -31 - (-21) = -10
Multiplication:
Ex.
1. 6 · 9 = 54
2. 8 · (-5) = -40
3. -4 · 8 = - 32
4. -7 · (-9) = 63
Division:
Ex.
1. 25 ÷ 5 = 5
2. 27 ÷ (-3) = -9
3. -48 ÷ 6 = -8
4. -56 ÷ (-4) = 14
