
Important Formulas:
1. (a+b)^{2} = a^{2}+2ab+b^{2}
2. (ab)^{2} = a^{2}2ab+b^{2}
3. (a+b)(ab) = a^{2}b^{2}
4. (a+b)(a^{2}ab+b^{2}) = a^{3}+b^{3}
5. (ab)(a^{2}+ab+b^{2}) = a^{3}b^{3}
6. (a+b)^{3} = a^{3}+3a^{2}b+3ab^{2}+b^{3}
7. (ab)^{3} = a^{3}3a^{2}b+3ab^{2}b^{3}
8. (a+b+c)^{2} = a^{2}+b^{2}+c^{2}+2ab+2bc+2ac
9. (a+b+c) (a^{2}+b^{2}+c^{2}abbcca)= a^{3}+b^{3}+c^{3}3abc
10. (x+a)(x+b) = x^{2}+x(a+b)+a.b
11. (ax+b)(cx+d) = acx^{2}+x(ad+bc)+b.d
12. (x+a)(x+b)(x+c) = x^{3}+x^{2}(a+b+c)+x(ab+bc+ca)+abc Directions: Write all the above formulas on a sheet of paper. 