Question

If a + b = 3, ab = 2 and a³ + b³ is:


a. 81


b. 9








c. 90








d. 18​

Answer 1

Answer:

d is the correct ans.

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Answer 2

Answer:

a+b+c=9 and a2+b2+c2=35

Using formula,

(a+b+c)2=a2+b2+c2+2(ab+bc+ca)

92=35+2(ab+bc+ca)

2(ab+bc+ca)=81−35=46

(ab+bc+ca)=23

using formula, 

(a3+b3+c3)−3abc=(a2+b2+c2−ab−bc−ca)(a+b+c)

a3+b3+c3−3abc=(35−23)×9=9×12=108

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