the question is, express x to the power of 2 divided by 4 - x to the power of 2 in partial fractions
I got the answer to be
1 divided by 2+x plus 1 divided by 2-x
the answer has a minus one on its own in it? I dont really get how
Remember that partial fractions can only be used when the degree of the numerator is less than the degree of the denominator. (The degree being the greatest power of x).
the question is, express x to the power of 2 divided by 4 - x to the power of 2 in partial fractions
I got the answer to be
1 divided by 2+x plus 1 divided by 2-x
the answer has a minus one on its own in it? I dont really get how
(4-x)^2 is not equal to (2+x)(2-x) unless you mean 4-x^2
If you have a squared bracket in the denominator you perform the brackets without the power in one fraction and then the entire thing as another. e.g. 2x/(x+1)^2 = A/(x+1) + B/(x+1)^2
crap I didnt mean to say the power of 2 was outside the bracket, it is inside, in the answer book my answer is right but im missing a minus one? I am wondering where it comes from?
crap I didnt mean to say the power of 2 was outside the bracket, it is inside, in the answer book my answer is right but im missing a minus one? I am wondering where it comes from?
Use long division or inspection like I did. You can't use partial fractions since the degree of the numerator and denominator is the same.