The expansion of is according to the descending order
of the powers of . Given that , and
, determine the values of and
The ratio between two consecutive terms of a binomial expansion when the binomial is of the form is determined using
The value of both and need to be determined. First we will determine the value of by setting up equations with the two given ratios. The first equation is
The second equation is
Next, divide the first equation by the second equation. This will eliminate .
Cross multiply and solve for .
Now, that we have a value for , we can substitute this value into either equation and solve for . Using the first equation,
The value of is 54 and the value of is 8.