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

Ethnic conflict is common in Sub-Saharan Africa because: _____. colonizers created homogeneous regions colonizers established political borders without consider
compare sonnet 43 to any modern love song of your choice and identify the differences in their expression of love​
Which expression is equivalent to 1/2 (2+ 3x – 6)? 3x - 5 3/2x - 5 3x – 4 3/2x - 2
The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −7 0 −1 1 5 g(x) g(x) = 5x − 4 Part A: Write a sentence
The use of ladybugs and praying mantises to consume insect pests in gardens is an example of
A regular polygon is defined to be a(n) _____ polygon with congruent sides and congruent angles
A significant drop in performance in cognitive areas such as memory and reading may __________.
Which transformation is a rigid transformation?
Sometimes you to ___ some points to get a good approximation of the location of extreme values
A metaphor of human-computer interaction (hci) in which interacting with the computer, is much like carrying on a conversation is called ____.