factorize m^3-27n^3-64p^3-36mnp
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Formula used :-
➪ a³ + b³ + c³ - 3abc
➭ (a + b + c) (a² + b² + c² - ab - bc - ac)
Answer :-
➠ m³ - 27n³ - 64p³ - 36mnp
➻ (m)³ + (-3n)³ + (-4p)³ - 3 × (m) × (-3n) × (-4p)
➻(m - 3n - 4p) {(m)² + (-3n)² + (-4p)² - m × (-3n) - (-3n) × (-4p) - (m) × (-4p)}
➻ (m - 3n - 4p) (m² + 9n² + 16p² + 3mn - 12np + 4mp)
∴ The value of m³ - 27n³ - 64p³ - 36mnp is (m - 3n - 4p) (m² + 9n² + 16p² + 3mn - 12np + 4mp)
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