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