
Example: If a+b = 8 and ab = 15, find the value of a^{3}+b^{3}. Solution: Given that, a+b = 8 Cubing on both sides, we get (a+b)^{3} = 8^{3} a^{3}+b^{3}+3ab(a+b) = 512 a^{3}+b^{3}+3.15.8 = 512 a^{3}+b^{3}+360 = 512 a^{3}+b^{3} = 512  360 a^{3}+b^{3} = 152
Directions: Solve the following problems. Also write at least ten examples of your own. 