Question

if a square + b square + c square equals to 50 a + b + C = 2 then a b + BC + CA​

Answer 1

Answer:

Required value of ab + bc + ca is - 23.

Step-by-step explanation:

Given,

a^2 + b^2 + c^2 = 50

a + b + c = 2

Square on both sides of a + b + c = 2 :

= > ( a + b + c )^2 = 2^2

From the properties of expansion :

• ( a + b + c )^2 = a^2 + b^2 + c^2 + 2( ab + bc + ca )

Thus,

= > a^2 + b^2 + c^2 + 2( ab + bc + ca ) = 4

= > 50 + 2( ab + bc + ca ) = 4

= > 2( ab + bc + ca ) = 4 - 50

= > 2( ab + bc + ca ) = - 46

= > ab + bc + ca = - 46 / 2

= > ab + bc + ca = - 23

Hence the required value of ab + bc + ca is - 23.

Answer 2

Answer:

hope you understand this Explaination