Can someone explain to be how to put (x/ (x^2-4)) in another form... please show step by step
thank you!
x^2-4=(x+2)*(x-2)
x/(x^2-4)=x/[(x+2)*(x-2)]
To put the expression (x / (x^2 - 4)) in another form, we can start by factoring the denominator (x^2 - 4).
Step 1: Factor the denominator (x^2 - 4)
The denominator (x^2 - 4) can be factored using the difference of squares formula:
x^2 - 4 = (x + 2)(x - 2)
Step 2: Rewrite the expression
Using the factored form of the denominator, we can rewrite the original expression:
x / (x^2 - 4) = x / ((x + 2)(x - 2))
At this point, the expression cannot be simplified further, so this is the final form of the expression (x / (x^2 - 4)).
Let me know if you need any further assistance!