Factorize m^3-27n^3-64p^3-36mnp

1.	Factorize m^3-27n^3-64p^3-36mnp
Answer» <html><body><p>Formula used :-</p><p>➪ a³ + b³ + c³ - 3abc</p><p></p><p>➭ (a + b + <a href="https://interviewquestions.tuteehub.com/tag/c-7168" style="font-weight:bold;" target="_blank" title="Click to know more about C">C</a>) (a² + b² + c² - <a href="https://interviewquestions.tuteehub.com/tag/ab-360636" style="font-weight:bold;" target="_blank" title="Click to know more about AB">AB</a> - bc - <a href="https://interviewquestions.tuteehub.com/tag/ac-361271" style="font-weight:bold;" target="_blank" title="Click to know more about AC">AC</a>)</p><p></p><p>Answer :-</p><p>➠ m³ - 27n³ - 64p³ - 36mnp</p><p></p><p>➻ (m)³ + (-3n)³ + (-<a href="https://interviewquestions.tuteehub.com/tag/4p-318801" style="font-weight:bold;" target="_blank" title="Click to know more about 4P">4P</a>)³ - <a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a> × (m) × (-3n) × (-4p)</p><p></p><p>➻(m - 3n - 4p) {(m)² + (-3n)² + (-4p)² - m × (-3n) - (-3n) × (-4p) - (m) × (-4p)}</p><p></p><p>➻ (m - 3n - 4p) (m² + 9n² + 16p² + 3mn - 12np + 4mp)</p><p></p><p>∴ The value of m³ - 27n³ - 64p³ - 36mnp is (m - 3n - 4p) (m² + 9n² + 16p² + 3mn - 12np + 4mp)</p></body></html>

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