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Factorize: a^2+b^2+2(ab+bc+ca)

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Factorize:

a2+b2+2(ab+bc+ca)

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Given, 

a2+b2+2(ab+bc+ca) 

= a2+b2+2ab+2bc+2ca 

= (a+b)2+2c(a+b) 

= (a+b)(a+b+2c)

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