Question

find the value of 15³-14³​

Answer 1

Step-by-step explanation:

15*15*15-14*14*14=3375-2744=631

Answer 2

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$\LARGE\mathcal{\underline\textcolor{aqua}{✯\; Formula :-}}$

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

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

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⇝ By using the above formula :-

↦ a = 15

↦ b = 14

$\large\textsf{ }$

$\qquad\tt{:}\longrightarrow\large\textsf{( 15 - 14 ) ( 15² + 15 × 14 + 14² )}$

$\qquad\tt{:}\longrightarrow\large\textsf{1 × ( 225 + 210 + 196 )}$

$\qquad\tt{:}\longrightarrow\large\textsf{1 × 631 }$

$\qquad\tt{:}\longrightarrow\boxed{\large\textsf\textcolor{red}{631}}$

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

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

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

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

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

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

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

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

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