Question

(a^2-5a^2)^2 -36 factorize it. and please give correct answer​

Answer 1

$\LARGE\mathfrak{\underline{✯\; Solution :-}}$

$\large\textsf{ }$

$\qquad\tt{:}\longrightarrow\large\textsf{( a² - 5a² )² - 36}$

$\qquad\tt{:}\longrightarrow\large\textsf{( - 4a² )² - 36 }$

$\qquad\tt{:}\longrightarrow\large\textsf{( - 4a² )² - 6² \; --------- ( 36 = 6 × 6 = 6² )}$

$\qquad\tt{:}\longrightarrow\boxed{\large\textsf\textcolor{red}{( - 4a² + 6 )( - 4a² - 6 )}}$

$\large\textsf{ }$

$\LARGE\mathfrak{\underline{✯\; Formula \; \; Used :-}}$

$\large\textsf{ }$

$\qquad\tt{:}\longrightarrow\boxed{\large\textsf\textcolor{orange}{a² - b² = ( a + b )( a - b )}}$

$\large\textsf{ }$

$\LARGE\mathfrak{\underline{✯\; More \; \; Formulas :-}}$

$\large\textsf{ }$

$\qquad\tt{:}\longrightarrow\large\textsf{( a + b )² = a² + b² + 2ab}$

$\qquad\tt{:}\longrightarrow\large\textsf{( a - b )² = a² + b² - 2ab}$

$\qquad\tt{:}\longrightarrow\large\textsf{a² - b² = ( a + b ) ( a - b )}$

$\qquad\tt{:}\longrightarrow\large\textsf{a² + b² = ( a + b )² - 2ab}$

$\qquad\tt{:}\longrightarrow\large\textsf{a³ + b³ = ( a + b ) ( a² - 2ab + b² )}$

$\qquad\tt{:}\longrightarrow\large\textsf{a³ - b³ = ( a - b ) ( a² + ab + b² )}$

$\qquad\tt{:}\longrightarrow\large\textsf{( a + b + c )² = a² + b² + c² + 2ab + 2bc + 2ac }$

$\large\textsf{ }$

$\large\textsf\textcolor{purple}{ \; \; \; \; \; \; \; \; \; \; \; \; ◈ ━━━━━━━ ✪ ━━━━━━━ ◈}$