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The coefficient of x^3 in (2x – 3y) (4x^2 + 6xy + 9y^2 ) is 

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The coefficient of x3 in (2x – 3y) (4x2 + 6xy + 9y2 ) is 

A) 8 

B) – 27 

C) 12 

D) 9

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2 Answers

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Correct option is (A) 8

\((2x-3y)\) \((4x^2+6xy+9y^2)\)

\(\because\) \(x^3\) will get by multiplying 2x with \(4x^2.\)

\(\therefore\) Coefficient of \(x^3\) in \((2x-3y)\) \((4x^2+6xy+9y^2)\) is \(2\times4=8.\)

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Correct option is  A) 8

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