1. The problem is to convert the expression $$(x+2)^2 - \frac{4}{3}$$ into standard form. 2. Start by expanding the squared term using the formula $$(a+b)^2 = a^2 + 2ab + b^2$$: $$ (x+2)^2 = x^2 + 2 \cdot x \cdot 2 + 2^2 = x^2 + 4x + 4 $$ 3. Substitute this back into the expression: $$ x^2 + 4x + 4 - \frac{4}{3} $$ 4. Combine the constant terms by finding a common denominator: $$ 4 = \frac{12}{3} $$ 5. So, $$ \frac{12}{3} - \frac{4}{3} = \frac{8}{3} $$ 6. Therefore, the expression in standard form is: $$ x^2 + 4x + \frac{8}{3} $$ This is the standard form of the quadratic expression.