Question

if p=a(b-c), q=b(c-a), r=c(a-b)then(p/a)^3+ (q/b)^3 + (r/c)^3

Answer 1

Step-by-step explanation:

p=a(b-c), q=b(c-a), r=c(a-b)

(p/a)^3+ (q/b)^3 + (r/c)^3

= (b-c)^3 + (c-a)^3 + (a-b)^3

= b^3 - c^3 - 3b^2c + 3bc^2 + c^3 - a^3 - 3c^2a + 3ca^2 + a^3 - b^3 - 3a^2b + 3ab^2

= - 3b^2c + 3bc^2 - 3c^2a + 3ca^2 - 3a^2b + 3ab^2