What is the coefficient of xy^2 in the expansion of (x-2y)^3

1.	What is the coefficient of xy^2 in the expansion of (x-2y)^3
Answer» <html><body><p><strong>Answer:</strong></p><p>24</p><p><strong>Step-by-step explanation:</strong></p><p></p><p>(x - <a href="https://interviewquestions.tuteehub.com/tag/2y-301307" style="font-weight:bold;" target="_blank" title="Click to know more about 2Y">2Y</a>)³</p><p></p><p>Using :: (a - <a href="https://interviewquestions.tuteehub.com/tag/b-387190" style="font-weight:bold;" target="_blank" title="Click to know more about B">B</a>)³ = a³ - b³ - 3ab(a - b)</p><p></p><p>(x - 2y)³ = x³ - 8y³ - 24xy(x - y)</p><p></p><p>= x³ - 8y³ - 24x²y + 24xy²</p><p></p><p>you have <a href="https://interviewquestions.tuteehub.com/tag/asked-383947" style="font-weight:bold;" target="_blank" title="Click to know more about ASKED">ASKED</a> the coefficient of xy²</p><p></p><p>So it is 24</p></body></html>

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