SOLUTION: Can someone please help me solve this? Simplify the expression. (3sqrt(x)+2)^2

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Question 794071: Can someone please help me solve this?
Simplify the expression.
(3sqrt(x)+2)^2

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
When you have the sum of two expressions, a and b,
and want to calculate the square of that sum you can use the formula for "square of a binomial":
%28a%2Bb%29%5E2=a%5E2%2B2%2Aa%2Ab%2Bb%5E2
Applying that to the problem we get

We keep calculating indicated operations and simplifying.
=%283sqrt%28x%29%29%5E2%2B12sqrt%28x%29%2B4
=3%5E2%2A%28sqrt%28x%29%29%5E2%2B12sqrt%28x%29%2B4
=9x%2B12sqrt%28x%29%2B4