Question

Am I correct? It's important that I get the right answer, so if I'm wrong please tell me what I did wrong

Answer 1

Since n=5, take the 6th row of Pascal Triangle: (a+b)⁵:

(a+b)⁵ = a⁵+5a⁴b+10a³b²+10a²b³+5ab⁴+b⁵.

But a= 2x and b=y, plug in:

(2x)⁵ + 5(2x)⁴y + 10(2x)³y² + 10(2x)²y³ + 5(2x)y⁴ +y⁵

32x⁵ + 80x⁴y +80x³y² + 40x²y³ + 10xy⁴ + y⁵

The 3rd term has a:
coefficient = 80
power of x= 3
power of y =2