Question

Factored form of this equation

Answer 1

`f(x)=(4x+3)/(2x)`

Explanation:

Pre-Solving

We are given the following function:
`f(x)=(8x^2+2x-3)/(4x^2-2x)`, and we want to simplify it.

Solving

Starting with the numerator, we can factor 8x² + 2x - 3 to become (2x-1)(4x+3).

We can also pull out 2x from the denominator to get 2x(2x-1).

Now, our function will look like:

`f(x)=((2x-1)(4x+3))/(2x(2x-1))`

We can cancel 2x-1 from both the numerator and denominator.

We are left with:

`f(x)=(4x+3)/(2x)`