Question

if a=2 b=-1 and c=4 then find the value of the algebric expression (a²+b²+c²-bc-ca-ab)

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Answer 1

Step-by-step explanation:

nswer

Formula,

(a+b+c)

2

=a

2

+b

2

+c

2

+2ab+2bc+2ca

⇒(a+b+c)

2

=a

2

+b

2

+c

2

+2(ab+bc+ca)

Given,

ab+bc+ca=10,a

2

+b

2

+c

2

=16

⇒(a+b+c)

2

=16+2(10)

a+b+c=

16+20

=6

Answer 2

Answer:

(a²+b²+c²-bc-ca-ab) = (a-b-c)

= (2-1-4)

= -3