SOLUTION: Resolve 7-8x/(1-x)*(2-x)into partial fractions.Hence find the expansion of the function in ascending powers of x as far as three nonzero terms. State for which values of x this exp

Question 97394: Resolve 7-8x/(1-x)*(2-x)into partial fractions.Hence find the expansion of the function in ascending powers of x as far as three nonzero terms. State for which values of x this expansion is valid

I need this answer,today.Please.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression

Break up the fraction into two smaller fractions

Multiply both sides by the LCD . This will eliminate any fractions.

Distribute. Notice the denominators cancel.

Simplify

Now to find A, simply eliminate B. So to eliminate B, let x=1

plug in x=1

multiply

Combine like terms

Multiply

So our first value is

------------------------------

Now to find B, simply eliminate A. So to eliminate A, let x=2

plug in x=2

multiply

Combine like terms

Multiply and combine like terms

Divide both sides by -1

So our second value is

So our values are and

So that means where or

Check:

To verify the answer, simply compare the graphs of the original expression and the answer. You'll see that they are equivalent, so that verifies your answer.
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