What are the factors of \[{{(2x+3y)}^{2}}+2(2x+3y)\,(x+y)+{{(x+y)}^{2}}\]?

• A. \[(3x+4y)\] and \[(3x-4y)\]
• B. \[(3x+4y)\]and \[(3x+4y)\]
• C. \[(3x+2y)\] and \[(2x-3y)\]
• D. \[(3x-4y)\] and \[(3x+2y)\]