Question

 If a= 3, b=-5 , c=-3, find a²+ b²+c²+ 2(ab + bc + ca 

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Answer 1

Given : a= 3, b=-5 , c=-3,

To Find :  a²+ b²+c²+ 2(ab + bc + ca )​

Solution:

a= 3, b=-5 , c=-3,

a²+ b²+c²+ 2(ab + bc + ca )​

= 3² + (-5)² + (-3)²  + 2 (3*(-5)  + (-5)(-3)  + (-3)3)

= 9 + 25 + 9 + 2( - 15 + 15 - 9)

= 43 + 2 (-9)

= 43 - 18

= 25  

Simpler way

a²+ b²+c²+ 2(ab + bc + ca )​ = (a + b + c)²

= ( 3 - 5 - 3)²

= (-5)²

= 25

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