Question

a+b+c=4
a²+b²+c²=10
a³+b³+c³=22
a⁴+b⁴+c⁴=??

Answer 1

Answer:

Correct option is

B

108

a+b+c=9 and a

2

+b

2

+c

2

=35

Using formula,

(a+b+c)

2

=a

2

+b

2

+c

2

+2(ab+bc+ca)

9

2

=35+2(ab+bc+ca)

2(ab+bc+ca)=81−35=46

(ab+bc+ca)=23

using formula,

(a

3

+b

3

+c

3

)−3abc=(a

2

+b

2

+c

2

−ab−bc−ca)(a+b+c)

a

3

+b

3

+c

3

−3abc=(35−23)×9=9×12=108

Answer (B) 108

Step-by-step explanation:

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Answer 2

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According to question:-

a+b+c=4

a²+b²+c²=10

a³+b³+c³=22

a⁴+b⁴+c⁴=??

From the question, we observed that in each column there is a difference of 2x where x = 6

Therefore, we can write 40 in place of ??

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