Question

verify (a2-b2) (a2+b2)+(b2-c2) (b2+c2)+(c2-a2) (c2+a2)​

Answer 1

Step-by-step explanation:

For a=2,b=4,c=6 we have

(a+b+c)

2

=(12)

2

=144 and

a 2 +b 2 +c 2

+2ab+2bc+2ca

=4+16+36+16+48+24

=144

ii) For a=5,b=−2,c=3 we have

(a+b+c) 2

=(6) 2

=36 anda 2 +b 2 +c 2

+2ab+2bc+2ca

=25+4+9−20−12+30

=36

iii) For a=−2,b=3,c=−4 we have

(a+b+c) 2

=(−3) 2

=9 anda 2 +b 2 +c 2 +2ab+2bc+2ca

=4+9+16−12−24+16

=9