Adding & Subtracting Polynomials

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Presentation transcript:

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 (9y – 7x + 15a) + (-3y + 8x – 8a) Line up your like terms. 9y – 7x + 15a + -3y + 8x – 8a _________________________ 6y + x + 7a

2. Add the following polynomials (3a2 + 3ab – b2) + (4ab + 6b2) _________________________ 3a2 + 7ab + 5b2

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

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

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

6. Subtract the following polynomials (4x2 – 2xy + 3y2) – (-3x2 – xy + 2y2) -------------------------------------- 7x2 – xy + y2

7. Subtract (2x2 – 5a2 + 7x) from (5x2 + 3a2 – 5x). From Comes First!!!! 7. Subtract (2x2 – 5a2 + 7x) from (5x2 + 3a2 – 5x). (5x2 + 3a2 – 5x) – (2x2 – 5a2 + 7x) The polynomial after FROM goes first!!!! 5x2 + 3a2 – 5x + (- 2x2 + 5a2 – 7x) -------------------------------------- 3x2 + 8a2 – 12x

8. Subtract (5x2 – 4) from (3x2 + 8x + 4). (3x2 + 8x + 4) – (5x2 – 4) 3x2 + 8x + 4 + (- 5x2 + 4) -------------------------------------- -2x2 + 8x + 8

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

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