dre7350 dre7350
  • 03-06-2019
  • Mathematics
contestada

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

Respuesta :

gmany
gmany gmany
  • 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]

Answer Link

Otras preguntas

If Q, DE=FG. Which must be true? Select all that apply.
Good morning What is the easiest question you answer?
If someone is particularly pale, what would you call them?.
A researcher needing to find information about the treasures of Sutton Hoo in a library using the Library of Congress system would need to look in which of thes
Please please help me 30 points if you can I need the answer I know how to do it I just suck with the fractions
The free enterprise system is depressed by government regulations. True or false
Can someone help with this one?
Community Gardens In 1977, in New York City, people noticed something surprising. It was there in a vacant lot. It wasn’t the heaps of garbage. It was the tomat
what’s a positive divided by a negative
Simplify the following expressions 2x-2y+5z-2x-y+3z