# Algebra Formulas PDF

## Algebra Formulas For Class 10

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 =12[(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 = 1/2[(x − y)2 + (y − z)2 + (z − x)2]

Quadratic Formula: The “quadratic formula” is used to find the roots of a quadratic equation : Formula is given in PDF