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

When dividing 878 by 31, a student finds a quotient of 28 with a remainder of 11. Check the students work, and use the check to find the error in the
As a new newspaper reporter, Amanda was nervous about doing her first interview with a state senator. She went to a veteran reporter, Clark Webb, for advice. Cl
When historians ask questions about variations across different groups of people with common traditions, they gather information from _____.
Why was trade in West Africa so important???
one common factor of two numbers is 40. another common factor is 10. if both numbers are less than 100, what are the two numbers?
what caused the quiet depression during the 1920s
why would the church and religious life have had such great appeal at this point in history
This describes those things you really must have and those thing you really must do
TRUE OR FALSE? The genetic code is determined by the SIZES of the nitrogen bases.
What is the greatest possible whole number remainder if you divide any number by 23?