Answer:
(A) h/2
Step-by-step explanation:
First of all, we will multiply the first part of the equation with the x-1 and the second part with x+1 to have the same denominator.
> ( x^2-1 ) ( x-1 ) + ( x^2-1 ) ( x+1 )
h = -----------------------------------------
( x+1 ) ( x-1 )
Then, we will use FOIL. ( First, Outer, Inner, Last )
> h = x^3 - x^2 - x + 1 + x^3 + x^3 + x^2 - x - 1
----------------------------------------------------
x^2 - x + x - 1
Then, we will combine the like terms and clear our equation.
> h = 2x^3 - 2x
--------------
( x^2 - 1 )
That's a bit messy, if we look at the equation a bit, we see that to make the equation and our life easier, we can factor out 2x and get rid of (x^2 - 1).
> h = 2x ( x^2 - 1 )
-----------------
( x^2 - 1 )
x^2 - 1 cancels out.
> h = 2x
Finally, we will divide both sides by 2 to isolate x.
> h/2 = x
And that's our answer.
It looks messy but I hope it will be understood.
If I have any inaccuracies please let me know.
Have a nice day and never stop questioning!
