3. FOUR OPERATION

4. LEARNING OBJECTIVE

6. Algebra is an important branch of mathematics it is used in Physics, Chemistry, Biology, Economics and Statistics these days. The Muslim mathematician did the spade work on this branch.

11. Types of Algebraic Expression a) Involving only one term “monomial” e.g., (i) 2ab (ii) 4x ² b) Involving two or more terms or sum of two or more expression is know as “polynomial” e.g., (i)2x ² – 5 (ii)x ² + 4x - 3

12. ADDITION OF POLYNOMIAL EXPRESSION

17. EXAMPLE :- Subtract a ³-3a²b+3ab²-b³ from a³+3a²b-3ab²+b³ SOLUTION:- a³+3a² b-3ab²+b³ +a³-3a² b+3ab²-b³ - + - + 6a ²b-6ab²+2b³

19. =(a ³+3a²b-3ab²+b³) – (a³-3a²b+3ab²-b³) = a³+3a²b-3ab²+b³-a³+3a²b-3ab²+b³ = a³-a³+3a²b+3a²b-3ab²-3ab²+b³+b³ = 6a²b-6ab²+2b³

21. Find the product of (x+3) (3x ²+2x-6) Vertical form Solution: 3x²+2x – 6 x x +3 3x³+2x² - 6x +9x²+6x – 18 3x³+11x² - 18 or 3x³+11x² - 18

24. Example: Divide x ²-5x+6 by x-2

25. END