For the given term, find the binomial raised to the power, whose expansion it came from: 15(5)^2 (-1/2 x) ^4 A. (5+1/2 x)^6
B. (Y- 1/2 x) ^6
C. (5- 1/2 x) ^6
D. (-5 + (- 1/2 x))^6

C.

Step-by-step explanation:

Given

Required

Determine which binomial expansion it came from

The first step is to add the powers of he expression in brackets;

Each term of a binomial expansion are always of the form:

Where n = the sum above

Compare to the above general form of binomial expansion

Substitute 6 for n

[Next is to solve for a and b]

From the above expression, the power of (5) is 2

Express 2 as 6 - 4

By direct comparison of

and

We have;

Further comparison gives

[Solving for a]

By direct comparison of

[Solving for b]

By direct comparison of

Substitute values for a, b, n and r in

Solve for

Check the list of options for the expression on the left hand side

The correct answer is

3.76%

step-by-step explanation: