1. Objectives The student will be able to:
add and subtract polynomials.

2. 1. Add the following polynomials: (9y - 7x + 15a) + (-3y + 8x - 8a)
Group your like terms.
9y - 3y - 7x + 8x + 15a - 8a
6y + x + 7a

3. 2. Add the following polynomials: (3a2 + 3ab - b2) + (4ab + 6b2)
Combine your like terms.
3a2 + 3ab + 4ab - b2 + 6b2
3a2 + 7ab + 5b2

4. Add the polynomials. + x2 + 3x + 7y + xy + 8 x2 + 4y + 2x + 31 1 Y 1 1 1 Y 1 1 1 Y
x2 + 3x + 7y + xy + 8
x2 + 4y + 2x + 3
3x + 7y + 8
x2 + 11xy + 8

5. 3. Add the following polynomials using column form: (4x2 - 2xy + 3y2) + (-3x2 - xy + 2y2)
Line up your like terms.
4x2 - 2xy + 3y2
+ -3x2 - xy + 2y2
_________________________
x2 - 3xy + 5y2

6. Rewrite subtraction as adding the opposite.
4. Subtract the following polynomials: (9y - 7x + 15a) - (-3y + 8x - 8a)
Rewrite subtraction as adding the opposite.
(9y - 7x + 15a) + (+ 3y - 8x + 8a)
Group the like terms.
9y + 3y - 7x - 8x + 15a + 8a
12y - 15x + 23a

7. 5. Subtract the following polynomials: (7a - 10b) - (3a + 4b)
Rewrite subtraction as adding the opposite.
(7a - 10b) + (- 3a - 4b)
Group the like terms.
7a - 3a - 10b - 4b
4a - 14b

8. Line up your like terms and add the opposite.
6. Subtract the following polynomials using column form: (4x2 - 2xy + 3y2) - (-3x2 - xy + 2y2)
Line up your like terms and add the opposite.
4x2 - 2xy + 3y2
+ (+ 3x2 + xy - 2y2)
7x2 - xy + y2

9. Find the sum or difference. (5a – 3b) + (2a + 6b)

10. Find the sum or difference. (5a – 3b) – (2a + 6b)