Question

Can you help me solve this?

Answer 1

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!