a(b+c),b(c+a) and c(a+b)
add the polynomials.
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a(b+c)=ab+ac
b(c+a)= bc+ba
C(a+b)= ca+cb
Adding all the above we get
2ab+2bc+2ac
b(c+a)= bc+ba
C(a+b)= ca+cb
Adding all the above we get
2ab+2bc+2ac
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