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Factorize: 2a^2 + 2√6 ab + 3b^2​​​​​​​.

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Factorize: 2a2 + 2√6 ab + 3b2.

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2a2 + 2√6 ab + 3b2 

Above expression can be written as (√2a)2 + 2 x √2a x √3b + (√3b)2 

As we know, (p + q)2 = p2 + q2 + 2pq 

Here p = √2a and q = √3b 

= (√2a + √3b)2 

Therefore, 2a2 + 2√6 ab + 3b2 = (√2a + √3b)2

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