Question

Simplify -
2a(b+c-a)²+2b(c+a+b)²+2c(a+b+c)²+2(a+b+c)[{a²-(b-c)²}
+ {b²-(c-a)²}+{c²-(a-b)²}]​

Answer 1

Answer:

(ab+bc)

2

−2ab

2

c

Using,

(a+b)

2

=a

2

+2ab+b

2

we get,

=(ab)

2

+2(ab)(bc)+(bc)

2

−2ab

2

c

=a

2

b

2

+2ab

2

c+b

2

c

2

−2ab

2

c

=a

2

b

2

+b

2

c

2