Question

Find the coefficient for the x4y8 term in (x + y)2 Show your work by writing down what

you type into the calculator.

Answer 1

The coefficient for the x^4y^8 term in (x + y)^2 is 28x^4y^8.

Step-by-step explanation:

The given expression is (x + y)2. To find the coefficient of the x4y8 term, we need to expand the expression using the binomial theorem. The general formula for expanding (x + y)n is:

(x + y)n = C(n, r) * x(n-r) * yr

where C(n, r) is the binomial coefficient. In this case, n=2, r=8, and n-r=4.

So, the coefficient of the x4y8 term is:

C(2, 8) * x4 * y8 = 28 * x4 * y8 = 28x4y8