Question

x (2x + 3)-2x (x - 5) = 26​

Answer 1

$\LARGE\textsf{\underline\textcolor{aqua}{↭ SoLuTioN :-}}$

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$\qquad\tt{:}\longrightarrow\large\textsf{x ( 2x + 3 ) - 2x ( x - 5 ) = 26}\\\\\\\qquad\tt{:}\longrightarrow\large\textsf{2x² + 3x - 2x² + 10x = 26}\\\\\\\qquad\tt{:}\longrightarrow\large\textsf{2x² - 2x² + 3x + 10x = 26}\\\\\\\qquad\tt{:}\longrightarrow\large\textsf{13x = 26}\\\\\\\qquad\tt{:}\longrightarrow\large\textsf{ x = \cancel{\cfrac{\large\textsf{26}}{\large\textsf{13}}} }\\\\\\\qquad\tt{:}\longrightarrow\boxed{\large\textsf\textcolor{red}{x = 13}}$

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$\LARGE\textsf{\underline\textcolor{aqua}{↭ AlGeBrAiC fOrMuLaS :-}}$

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$\boxed{\begin{array}{ c }\\\\\qquad\tt{:}\longrightarrow\large\textsf{( a + b )² = a² + b² + 2ab}\\\\\\\qquad\tt{:}\longrightarrow\large\textsf{( a - b )² = a² + b² - 2ab}\\\\\\\qquad\tt{:}\longrightarrow\large\textsf{a² - b² = ( a + b ) ( a - b )}\\\\\\\qquad\tt{:}\longrightarrow\large\textsf{a² + b² = ( a + b )² - 2ab}\\\\\\\qquad\tt{:}\longrightarrow\large\textsf{a³ + b³ = ( a + b ) ( a² - 2ab + b² )}\\\\\\\qquad\tt{:}\longrightarrow\large\textsf{a³ - b³ = ( a - b ) ( a² + ab + b² )}\\\\\\\qquad\tt{:}\longrightarrow\large\textsf{( a + b + c )² = a² + b² + c² + 2ab + 2bc + 2ac }\\\\\end{array}}$

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