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[tex]( {x}^{2} + 22x + 121) \div (x + 11) \\ \\ \frac{ {x}^{2} + 22x + 121 }{x + 11} \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \frac{(x + 11 {)}^{2} }{x + 11} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ = x + 11 \: \: \: \: \: \: \: \: \: \: [/tex]
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[tex]( {x}^{2} + 22x + 121) \div (x + 11) \\ \\ \frac{ {x}^{2} + 22x + 121 }{x + 11} \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \frac{(x + 11 {)}^{2} }{x + 11} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ = x + 11 \: \: \: \: \: \: \: \: \: \: [/tex]
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