Question

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

Answer 1

Answer:

25

Step by step explanation:

Answer 2

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

Learn More:

If a+b+c=6 and a2+b2+c2=14 and a3+b3+c3=36 find value of abc ...

https://brainly.in/question/5958601

if a+b+c=10 and a2+b2+c2=38 a3+b3+c3=160 find abc

https://brainly.in/question/17672372