Respuesta :

The simplified form of the expression (( 1 + 1/3 )² - 2/9) is 14/9.

What is the simplified form of the given expression?

Given the expression in the question;

( 1 + 1/3 )² - 2/9

Add the two terms inside the parenthesis

( (3+1)/3 )² - 2/9

( 4/3 )² - 2/9

Apply product rule to 4/3

4²/3² - 2/9

Raise 4 and 3 to the power of 2

16/9 - 2/9

Combine the numerators over common denominator

( 16 - 2 ) / 9

14/9

Therefore, the simplified form of the expression (( 1 + 1/3 )² - 2/9) is 14/9.

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