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Factorize: a^2+b^2+2(a b+b c+c a)...

Factorize: `a^2+b^2+2(a b+b c+c a)`

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`a^2+b^2+2(ab+ac+bc)`
`=a^2+b^2+2ab+2ac+2bc`
`=(a+b)^2+2c(a+b)`
`=(a+b)(a+b+2c)`
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