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Grade 8 - Mathematics
7.44 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 = 8 and ab = 48, find the value of a3-b3.
1664
1668
1666
1662

Q 2: If a-b = 6 and ab = 16, find the value of a3-b3.
528
526
520
524

Q 3: If a-b = 10 and ab = 75, find the value of a3-b3.
3240
3250
3245
3255

Q 4: If a-b = 3 and ab = 40, find the value of a3-b3.
383
385
387
381

Q 5: If a-b = 4 and ab = 45, find the value of a3-b3.
606
604
602
608

Q 6: If a-b = 4 and ab = 21, find the value of a3-b3.
314
318
316
312

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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