dre7350 dre7350

03-06-2019
Mathematics

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find the coefficient of Y^2 in the expansion of (2x+y)^3

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03-06-2019

Step-by-step explanation:

[tex]\text{Use}\ (a+b)^3=a^3+3a^2b+3ab^2+b^3.\\\\\text{We have}\ (2x+y)^3\\\\=(2x)^3+3(2x)^2(y)+3(2x)(y^2)+y^3\\\\\text{The coefficient of}\ y^2\ \text{is}\ (3)(2)=6[/tex]

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