The numerical coefficient of y in the expansion of (x-2y) ^3 – InterviewSolution

1.

The numerical coefficient of y in the expansion of (x-2y) ^3

Answer»

$( {x - 2y})^{3} = {x}^{3} - 8 {y}^{3} - 6xy(x - 2y)$

$= > {x}^{3} - 8 {y}^{3} - 6 {x}^{2} y + 12x {y}^{2}$

$the \: numerical \: coefficient \: of \: y = 0$

${y}^{ 3} = - 8$

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