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(4m+5n)²+(5m+4n)²answer with explanationdon't scam if you answer correct with explanation I will mark you as brainlist​

Answer» <html><body><p><strong><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a>:</strong></p><p><img align="absmiddle" alt="41 {m}^{2} + 41 {n}^{2} + 80mn" class="latex-formula" id="TexFormula1" src="https://tex.z-dn.net/?f=41%20%7Bm%7D%5E%7B2%7D%20%20%2B%2041%20%7Bn%7D%5E%7B2%7D%20%20%2B%2080mn" title="41 {m}^{2} + 41 {n}^{2} + 80mn"/></p><p></p><p><strong>Step-by-step <a href="https://interviewquestions.tuteehub.com/tag/explanation-455162" style="font-weight:bold;" target="_blank" title="Click to know more about EXPLANATION">EXPLANATION</a>:</strong></p><p></p><p><img align="absmiddle" alt="( {4m + 5n)}^{2} + {(5m + 4n)}^{2} \\ = {(4m)}^{2} + {(5n)}^{2} + 2 \times 4m \times 5n + \\ {(5m)}^{2} + { {(4n)}^{2} } + 2 \times 5m \times 4n \\ = 16 {m}^{2} + 25 {n}^{2} + 40mn \\ + 25 {m}^{2} + 16 {n}^{2} + 40mn \\ = 41 {m}^{2} + 41 {n}^{2} + 80mn" class="latex-formula" id="TexFormula2" src="https://tex.z-dn.net/?f=%28%20%7B4m%20%2B%205n%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%285m%20%2B%204n%29%7D%5E%7B2%7D%20%20%5C%5C%20%20%3D%20%20%7B%284m%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%285n%29%7D%5E%7B2%7D%20%20%2B%202%20%5Ctimes%204m%20%5Ctimes%205n%20%2B%20%5C%5C%20%20%7B%285m%29%7D%5E%7B2%7D%20%2B%20%20%20%20%7B%20%20%20%7B%284n%29%7D%5E%7B2%7D%20%7D%20%20%2B%202%20%5Ctimes%205m%20%5Ctimes%204n%20%5C%5C%20%20%3D%20%2016%20%7Bm%7D%5E%7B2%7D%20%20%2B%2025%20%7Bn%7D%5E%7B2%7D%20%20%2B%2040mn%20%5C%5C%20%20%2B%2025%20%7Bm%7D%5E%7B2%7D%20%20%2B%2016%20%7Bn%7D%5E%7B2%7D%20%20%2B%2040mn%20%5C%5C%20%20%3D%2041%20%7Bm%7D%5E%7B2%7D%20%20%2B%2041%20%7Bn%7D%5E%7B2%7D%20%20%2B%2080mn" title="( {4m + 5n)}^{2} + {(5m + 4n)}^{2} \\ = {(4m)}^{2} + {(5n)}^{2} + 2 \times 4m \times 5n + \\ {(5m)}^{2} + { {(4n)}^{2} } + 2 \times 5m \times 4n \\ = 16 {m}^{2} + 25 {n}^{2} + 40mn \\ + 25 {m}^{2} + 16 {n}^{2} + 40mn \\ = 41 {m}^{2} + 41 {n}^{2} + 80mn"/></p><p></p></body></html>


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