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Example: If a+b = 8 and ab = 15, find the value of a3+b3. Solution: Given that, a+b = 8 Cubing on both sides, we get (a+b)3 = 83 a3+b3+3ab(a+b) = 512 a3+b3+3.15.8 = 512 a3+b3+360 = 512 a3+b3 = 512 - 360 a3+b3 = 152
Directions: Solve the following problems. Also write at least ten examples of your own. |