Solve this question? 2x3+x2+2x+1 / x3-x2+x-1Question in test could not answer

Supposing that you need to reduce the fraction to its
lowest terms, you need to factorize both numerator and
denominator.

1)

You need to factorize the numerator, hence you need to
group the terms such that:

+ 1) + (2x + 1)

You need to factor out 2x + 1 such
that:

1)

You need to factorize the denominator, hence you need
to group the terms such that:

x^2(x - 1) + (x - 1)

You need to factor out x - 1 such
that:

1)

You need to write the factored form of fraction such
that:

1))

Notice that the factored form accentuates the common
factors, hence you need to reduce these factors such
that:

1)

Hence, simplifying the fraction to its
lowest terms yields