# Maths Formulas For Class 10

## Maths Formulas For Class 10 : Most Important Mathematics Formulas For Class 10

Entry point to the professional education begin from class 10. Class 10 play very significant role for your career option for selecting right stream like Science, Arts and Commerce.

## Class 10 Maths Formulas For Algebra

1. $${(a+b)}^2=a^2+b^2+2ab$$
2. $${(a-b)}^2=a^2+b^2-2ab$$
3. $$a^2-b^2=(a+b)(a-b)$$
4. $$(x+a)(x+b)=x^2+(a+b)x+ab$$
5. $$(x+a)(x-b)=x^2+(a-b)x-ab$$
6. $${(a+b)}^3=a^3+b^3+3ab(a+b)$$
7. $${(a-b)}^3=a^3-b^3-3ab(a-b)$$
8. $$(x-a)(x+b)=x^2+(b-a)x-ab$$
9. $$(x-a)(x-b)=x^2-(a+b)x+ab$$
10. $${(x+y+z)}^2=x^2+y^2+z^2+2xy+2yz+2xz$$
11. $${(x+y-z)}^2=x^2+y^2+z^2+2xy-2yz-2xz$$
12. $${(x-y+z)}^2=x^2+y^2+z^2-2xy+2yz+2xz$$
13. $${(x-y-z)}^2=x^2+y^2+z^2-2xy+2yz-2xz$$
14. $$x^3+y^3+z^3-3xyz=(x+y+z)(x^2+y^2+z^2-xy-yz-xz)$$
15. $$x^2+y^2=\frac12\lbrack{(x+y)}^2+{(x-y)}^2\rbrack$$
16. $$(x+a)(x+b)(x+c)=x^3+(a+b+c)\;x^2+(ab+bc+ca)\;x+abc$$
17. $$x^3+y^3=(x+y)(x^2-xy+y^2)$$
18. $$x^3+y^3\;=(x-y)(x^2+xy+y^2)$$
19. $$x^2+y^2+z^2-xy-yz-zx\;=\frac12\lbrack{(x-y)}^2+{(y-z)}^2+{(z-x)}^2\rbrack$$