Math, asked by paviourconstruction, 9 months ago

12. (a - b + c)2 + (b-c + a)2 + 2(a - b + c)(b-c + a)​

Answers

Answered by abhi569
2

Answer:

4a^2

Step-by-step explanation:

 We know  a^2 + b^2 + 2ab = ( a + b )^2

we will apply the same here.

⇒ ( a - b + c )^2 + ( b - c + a )^2 + 2( a - b + c )( b - c + a )

⇒ [ ( a - b + c ) + ( b - c + a ) ]^2

⇒ [ a - b + c + b - c + a ]^2

⇒ [ a + a - b + b + c - c ]^2

⇒ [ 2a ]^2

⇒ 4a^2

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