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Perform the indicated operation. (2x + y)(3x^2 + y)

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Answer:


(2x+y)(3x^2+y)=6x^3+3x^2y+2xy+y^2)

Explanation:

The given expression is
(2x+y)(3x^2+y).

We expand the parenthesis using the distributive property to obtain;


(2x+y)(3x^2+y)=2x(3x^2+y)+y(3x^2+y)

We expand further to get;


(2x+y)(3x^2+y)=6x^3+2xy+3x^2y+y^2)

This gives us;


(2x+y)(3x^2+y)=6x^3+3x^2y+2xy+y^2)

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