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Grade 8 - Mathematics7.44 Problems - VIII

 Example: If a-b = 3 and ab = 10, find the value of a3-b3. Solution: Given that, a-b = 3 Cubing on both sides, we get (a-b)3 = 33 a3-b3-3ab(a-b) = 27 a3-b3-3.10.3 = 27 a3-b3-90 = 27 a3-b3 = 27 + 90 a3-b3 = 117 Directions: Solve the following problems. Also write at least ten examples of your own.
 Q 1: If a-b = 4 and ab = 21, find the value of a3-b3.318316314312 Q 2: If a-b = 6 and ab = 91, find the value of a3-b3.1852185818561854 Q 3: If a-b = 3 and ab = 40, find the value of a3-b3.387381385383 Q 4: If a-b = 6 and ab = 16, find the value of a3-b3.528524526520 Q 5: If a-b = 3 and ab = 18, find the value of a3-b3.183187189185 Q 6: If a-b = 8 and ab = 48, find the value of a3-b3.1662166616681664 Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!