Question

If x=3 nd y=-1 find the value of (9y²-4x²) (81y⁴+36x²y²+16x⁴)
please friends it's urgent​

Answer 1

$\large\textsf{ }$

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

$\large\textsf{ }$

$\qquad\tt{:}\longrightarrow\large\textsf{x = 3 \; \; and \; \; y = - 1}$

$\qquad\tt{:}\longrightarrow\large\textsf{( 9y² - 4x² )( 81y⁴ + 36x²y² + 16x⁴ )}$

$\qquad\tt{:}\longrightarrow\large\textsf{[( 9 × -1²) - ( 4 × 3² )] [( 81 × -1⁴ ) + ( 36 × 3² × -1² ) + ( 16 × 3⁴ )]}$

$\qquad\tt{:}\longrightarrow\large\textsf{[9 - ( 4 × 9 )] [ ( 81 × 1 ) + 36 × 9 × 1 ) + ( 16 × 81 )]}$

$\qquad\tt{:}\longrightarrow\large\textsf{( 9 - 36 ) ( 81 + 324 + 1296 )}$

$\qquad\tt{:}\longrightarrow\large\textsf{- 27 × 1701}$

$\qquad\tt{:}\longrightarrow\boxed{\large\textsf\textcolor{red}{45927}}$

$\large\textsf{ }$

$\LARGE\mathfrak{\underline\textcolor{aqua}{✯\; Algebraic \; \; Formulas :-}}$

$\large\textsf{ }$

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

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

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

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

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

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

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

$\large\textsf{ }$

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

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Answer 2

$\large\textsf{ }$

$\large\boxed{\boxed{ \pink{ \tt Solution : }}}$

$\large\textsf{ }$

$\qquad\tt{:}\longrightarrow\large\textsf{x = 3 \; \; and \; \; y = - 1}$

$\qquad\tt{:}\longrightarrow\large\textsf{( 9y² - 4x² )( 81y⁴ + 36x²y² + 16x⁴ )}$

$\qquad\tt{:}\longrightarrow\large\textsf{[( 9 × -1²) - ( 4 × 3² )] [( 81 × -1⁴ ) + ( 36 × 3² × -1² ) + ( 16 × 3⁴ )]}$

$\qquad\tt{:}\longrightarrow\large\textsf{[9 - ( 4 × 9 )] [ ( 81 × 1 ) + 36 × 9 × 1 ) + ( 16 × 81 )]}$

$\qquad\tt{:}\longrightarrow\large\textsf{( 9 - 36 ) ( 81 + 324 + 1296 )}$

$\qquad\tt{:}\longrightarrow\large\textsf{- 27 × 1701}$

$\qquad\tt{:}\longrightarrow\boxed{\large\textsf\textcolor{red}{45927}}$

$\large\textsf{ }$

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