Beini wrote:The book gives an answer of
. This is probably very simple problem but I really don't understand how to workout a problem like that.
I would appreciate if anyone would like to show the steps involved getting to that answer and maybe point to a related lesson
It's been a few days so I'm going to work the problem out how I would do it. I would start by getting rid of the complex fraction by flipping the bottom and multiplying.
The starting equation.
Flip the bottom and multiply.
Multiply the second term.
Then I would get a common denominator, which will be x:
Multiplying the first term by (x/x) to get the common denominator.
Done the multiplication.
Combined the fractions for subtraction since we have a common denominator.
Difference of squares identity where (x+1)(x-1) = x² - 1.
Distribute the negative.
Simplify the numerator.
Ta da!