Exercise
$\left(\sqrt{x}+\frac{1}{3\sqrt{x}}\right)^2$
Step-by-step Solution
Learn how to solve special products problems step by step online. Expand the expression (x^(1/2)+1/(3x^(1/2)))^2. Expand the expression \left(\sqrt{x}+\frac{3\sqrt{x}}\right)^2 using the square of a binomial. Take the square of the first term: \sqrt{x}. Twice (2) the product of the two terms: \sqrt{x} and \frac{1}{3\sqrt{x}}. Take the square of the second term: \frac{1}{3\sqrt{x}}.
Expand the expression (x^(1/2)+1/(3x^(1/2)))^2
Final answer to the exercise
$x+2\sqrt{x}\left(\frac{1}{3\sqrt{x}}\right)+\frac{1}{9x}$