Find the 7th term in the following binomial expansion(4f+t/3)8 in ascending powers of t

Step-by-step explanation:

Binomial Theorem

Any power of x + y can be expanded into a sum of the form:

For any given term k, counted from 0 to n:

Note if we have to find the 7th term, we have to use k=6. The expression is:

For n=8, x=4f, y=t/3, k=6:

Calculate:

Thus:

Simplifying, the 7th term is:

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".