Algebra is a branch of mathematics dealing with symbols and the rules for number theory, geometry and analysis. The basic form of Algebra is elementary algebra. The symbols are written as Latin and Greek letters which represents values referred to as variables. “Algebra Formulas class 10” are algebra equations. In simple terms, the algebra equations describe the relationship between the variables.
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Algebra is one of the important chapters of Class 10 CBSE and the important topics which are to be studied and practiced are
- Algebraic method of solving pair of linear equation- elimination method
- Algebraic method of solving pair of linear equation– substitution method
- Algebraic method of solving pair of linear equation- cross multiplication method
The chapter has a number of formulas, students may find it difficult to read. Inorder to make it easy, make a list of the formulas and store it as algebra formulas class 10 pdf, here is the list of important formulas
You can also note down all the formulas in a single page and keep it on your study table or on the board or wall.
1. (a + b)2 = a2 + 2ab + b2 2. (a - b)2 = a2 - 2ab + b2 3. (a + b) (a - b) = a2 - b2 4. (x + a)(x + b) = x2 + (a + b)x + ab 5. (x + a)(x - b) = x2 + (a - b)x - ab 6. (x - a)(x + b) = x2 + (b - a)x - ab 7. (x - a)(x - b) = x2 - (a + b)x + ab 8. (a + b)3 = a3 + b3 + 3ab(a + b) 9. (a - b)3 = a3 - b3 - 3ab(a - b) 10. (x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2xz 11. (x + y - z)2 = x2 + y2 + z2 + 2xy - 2yz - 2xz 12. (x - y + z)2 = x2 + y2 + z2 - 2xy - 2yz + 2xz 13. (x - y - z)2 = x2 + y2 + z2 - 2xy + 2yz - 2xz 14. x3 + y3 + z3 - 3xyz = (x + y + z)(x2 + y2 + z2 - xy - yz -xz) 15. x2 + y2 = 1212 [(x + y)2 + (x - y)2] 16. (x + a) (x + b) (x + c) = x3 + (a + b +c)x2 + (ab + bc + ca)x + abc 17. x3 + y3 = (x + y) (x2 - xy + y2) 18. x3 - y3 = (x - y) (x2 + xy + y2) 19. x2 + y2 + z2 -xy - yz - zx = 1212 [(x-y)2 + (y-z)2 + (z-x)2]