Question

the coefficient of x^2 in (2x+y) ^3​

Answer 1

Answer:

The coefficient of x² is -6.

Answer 2

Answer:

12y

Step-by-step explanation:

Coefficient of $x^{2}$ would be the number $x^{2}$ is being multiplied to.

let us simplify it first

$(2x+y)^{3} =$

$8x^{3} + y^{2} + 3(2x)(y) (2x+y)\\\\= 8x^{3} + y^{2} + 6xy (2x+y) \\\\=8x^{3} + y^{2} + 12x^{2} y + 6xy^{2}$

So now in the end result we can see a $x^{2}$ as $12x^{2} y$

So the coefficient of $x^{2}$ here would be 12y