What is the coefficient of x^2y^3 in the expansion of (2x+y)^5

The coefficient of x²y³ is 40.

Step-by-step explanation:

The binomial expansion is defined as

The expression is

Expand the binomial expansion.

Combination formula:

Therefore the coefficient of x²y³ is 40.

y= -

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116