Question

x^p+x^q+x^r=1, then find p^3+q^3+r^3=?​

Answer 1

Step-by-step explanation:

Given p=−2, q=1, r=3

(a) p

2

+q

2

−r

2

=(−2)

2

+(1)

2

−(3)

2

=4+1−9

=5−9

=−4

(b) p−q−r=(−2)−(1)−(3)

=−2−1−3

=−6

(c) p

3

+q

3

+r

3

+3pqr=(−2)

3

+(1)

3

+(3)

3

+3(−2)(1)(3)

=−8+1+27−18

=−26+28

=2.