Adding Subtracting Polynomials To add or subtract polynomials

Adding & Subtracting Polynomials To add or subtract polynomials, 1) Align The Like Terms 2) Add/Subtract The Like Terms *Subtracting is the same as adding the opposite!! ** When adding or subtracting, EXPONENTS STAY THE SAME!!

1. Add the following polynomials (9 y – 7 x + 15 a) + (-3 y + 8 x – 8 a) Line up your like terms. 9 y – 7 x + 15 a + -3 y + 8 x – 8 a _____________ 6 y + x + 7 a

2. Add the following polynomials (3 a 2 + 3 ab – b 2) + (4 ab + 6 b 2) + 3 a 2 + 3 ab – b 2 4 ab + 6 b 2 _____________ 3 a 2 + 7 ab + 5 b 2

3. Add the following polynomials (4 x 2 – 2 xy + 3 y 2) + (-3 x 2 – xy + 2 y 2) Line up your like terms. 4 x 2 – 2 xy + 3 y 2 + -3 x 2 – xy + 2 y 2 _____________ x 2 - 3 xy + 5 y 2

4. Subtract the following polynomials (9 y – 7 x + 15 a) – (-3 y +8 x – 8 a) Line up your like terms and add the opposite. 9 y – 7 x + 15 a + (+ 3 y – 8 x + 8 a) -------------------12 y – 15 x + 23 a

5. Subtract the following polynomials (7 a – 10 b) – (3 a + 4 b) 7 a – 10 b + (– 3 a – 4 b) ------------------- 4 a – 14 b

6. Subtract the following polynomials (4 x 2 – 2 xy + 3 y 2) – (-3 x 2 – xy + 2 y 2) 4 x 2 – 2 xy + 3 y 2 + (+ 3 x 2 + xy – 2 y 2) ------------------- 7 x 2 – xy + y 2

From Comes First!!!! 7. Subtract (2 x 2 – 5 a 2 + 7 x) from (5 x 2 + 3 a 2 – 5 x) – (2 x 2 – 5 a 2 + 7 x) The polynomial after FROM goes first!!!! 5 x 2 + 3 a 2 – 5 x + (- 2 x 2 + 5 a 2 – 7 x) -------------------3 x 2 + 8 a 2 – 12 x

2 (5 x 8. Subtract – 4) from (3 x 2 + 8 x + 4) – (5 x 2 – 4) 3 x 2 + 8 x + 4 + (- 5 x 2 + 4) -------------------2 x 2 + 8 x + 8

Find the sum or difference. (5 a – 3 b) + (2 a + 6 b) 1. 2. 3. 4. 3 a – 9 b 3 a + 3 b 7 a – 3 b

Find the sum or difference. (5 a – 3 b) – (2 a + 6 b) 1. 2. 3. 4. 3 a – 9 b 3 a + 3 b 7 a – 9 b