Question

verify the gland (a+b+c)² = a² + b² +c² (ab+BC+ca ​

Answer 1

Answer:

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Step-by-step explanation:

a

a 2

a 2 +b

a 2 +b 2

a 2 +b 2 +c

a 2 +b 2 +c 2

a 2 +b 2 +c 2 −ab−bc−ca

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2=

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2= 2

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2= 22

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2= 22

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2= 22 ×(a

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2= 22 ×(a 2

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2= 22 ×(a 2 +b

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2= 22 ×(a 2 +b 2

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2= 22 ×(a 2 +b 2 +c

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2= 22 ×(a 2 +b 2 +c 2

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2= 22 ×(a 2 +b 2 +c 2 −ab−bc−ca)

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2= 22 ×(a 2 +b 2 +c 2 −ab−bc−ca)=

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2= 22 ×(a 2 +b 2 +c 2 −ab−bc−ca)= 2

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2= 22 ×(a 2 +b 2 +c 2 −ab−bc−ca)= 2a

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2= 22 ×(a 2 +b 2 +c 2 −ab−bc−ca)= 2a 2

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2= 22 ×(a 2 +b 2 +c 2 −ab−bc−ca)= 2a 2 −2ab+b

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2= 22 ×(a 2 +b 2 +c 2 −ab−bc−ca)= 2a 2 −2ab+b 2

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2= 22 ×(a 2 +b 2 +c 2 −ab−bc−ca)= 2a 2 −2ab+b 2 +b

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2= 22 ×(a 2 +b 2 +c 2 −ab−bc−ca)= 2a 2 −2ab+b 2 +b 2

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2= 22 ×(a 2 +b 2 +c 2 −ab−bc−ca)= 2a 2 −2ab+b 2 +b 2 −2bc+c

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2= 22 ×(a 2 +b 2 +c 2 −ab−bc−ca)= 2a 2 −2ab+b 2 +b 2 −2bc+c 2

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2= 22 ×(a 2 +b 2 +c 2 −ab−bc−ca)= 2a 2 −2ab+b 2 +b 2 −2bc+c 2 +c

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2= 22 ×(a 2 +b 2 +c 2 −ab−bc−ca)= 2a 2 −2ab+b 2 +b 2 −2bc+c 2 +c 2

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2= 22 ×(a 2 +b 2 +c 2 −ab−bc−ca)= 2a 2 −2ab+b 2 +b 2 −2bc+c 2 +c 2 −2ac+a

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2= 22 ×(a 2 +b 2 +c 2 −ab−bc−ca)= 2a 2 −2ab+b 2 +b 2 −2bc+c 2 +c 2 −2ac+a 2

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2= 22 ×(a 2 +b 2 +c 2 −ab−bc−ca)= 2a 2 −2ab+b 2 +b 2 −2bc+c 2 +c 2 −2ac+a 2

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2= 22 ×(a 2 +b 2 +c 2 −ab−bc−ca)= 2a 2 −2ab+b 2 +b 2 −2bc+c 2 +c 2 −2ac+a 2

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2= 22 ×(a 2 +b 2 +c 2 −ab−bc−ca)= 2a 2 −2ab+b 2 +b 2 −2bc+c 2 +c 2 −2ac+a 2

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2= 22 ×(a 2 +b 2 +c 2 −ab−bc−ca)= 2a 2 −2ab+b 2 +b 2 −2bc+c 2 +c 2 −2ac+a 2 =

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2= 22 ×(a 2 +b 2 +c 2 −ab−bc−ca)= 2a 2 −2ab+b 2 +b 2 −2bc+c 2 +c 2 −2ac+a 2 = 2

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2= 22 ×(a 2 +b 2 +c 2 −ab−bc−ca)= 2a 2 −2ab+b 2 +b 2 −2bc+c 2 +c 2 −2ac+a 2 = 2(a−b)

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2= 22 ×(a 2 +b 2 +c 2 −ab−bc−ca)= 2a 2 −2ab+b 2 +b 2 −2bc+c 2 +c 2 −2ac+a 2 = 2(a−b) 2

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2= 22 ×(a 2 +b 2 +c 2 −ab−bc−ca)= 2a 2 −2ab+b 2 +b 2 −2bc+c 2 +c 2 −2ac+a 2 = 2(a−b) 2 +(b−c)

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2= 22 ×(a 2 +b 2 +c 2 −ab−bc−ca)= 2a 2 −2ab+b 2 +b 2 −2bc+c 2 +c 2 −2ac+a 2 = 2(a−b) 2 +(b−c) 2

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2= 22 ×(a 2 +b 2 +c 2 −ab−bc−ca)= 2a 2 −2ab+b 2 +b 2 −2bc+c 2 +c 2 −2ac+a 2 = 2(a−b) 2 +(b−c) 2 +(c−a)

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2= 22 ×(a 2 +b 2 +c 2 −ab−bc−ca)= 2a 2 −2ab+b 2 +b 2 −2bc+c 2 +c 2 −2ac+a 2 = 2(a−b) 2 +(b−c) 2 +(c−a) 2

a 2 +b 2 +c 2 −ab−bc−camultiply and divide by 2= 22 ×(a 2 +b 2 +c 2 −ab−bc−ca)= 2a 2 −2ab+b 2 +b 2 −2bc+c 2 +c 2 −2ac+a 2 = 2(a−b) 2 +(b−c) 2 +(c−a) 2