Can you help me please ​

9514 1404 393

  240

Step-by-step explanation:

The generic k-th term of the expansion of the binomial ...

  (a +b)^n

is given by ...

  (nCk)a^(n-k)b^k . . . . . where nCk = n!/(k!(n-k)!) and 0 ≤ k ≤ n

For this problem, we have ...

  a=2x, b=y, n=6, k=2

Then the 2nd term (counting from 0) is ...

  6C2×(2x)^4×y^2 = (6·5)/(2·1)·16x^4·y^2

  = 240x^4y^2

The desired coefficient is 240.

_____

Additional comment

The coefficients for the expansion match the numbers in a row of Pascal's triangle. The row beginning with 1, n will have the coefficients for the expansion to the n-th power.

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.