Question 59

If a - b = 5 and ab = 6, then $$(a^3 - b^3)$$ is equal to:

Solution

a - b = 5

$$(a - b)^2 = a^2 + b^2 - 2ab = 25$$

$$a^2 + b^2$$=37

$$a^3 - b^3=(a -b) (a^2 +ab +b^2)$$

=>$$5 \times (37 + 6)$$ = 215

So , the answer would be option d)215. 


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