Can an expert solve this math question for me? Please show steps so I can understand... I would really appreciate it. 1/2x^2+4x + 1/x^3+2x^2 =

Step-by-step explanation:

When you add fractions, the fractions must have common denominators.

Multiply the denominators together to get a common denominator.

(2+4x) by (+2) =

This is the common denominator.

However, you also need to multiply the numerators.

For example,

2 times 4 is 8.

But 1/8 + 1/8 isn't the answer. Thats 2/8 or 1/4.

If you multiply 1 by 4 and 2 by 1, however, you'll get the correct answer.

Multiply 1 by x^3 + 2x^2 and 1 by 2x^2 + 4x.

This results in:

Since they have a common denominator, you can just put the numbers over one denominator like:

Both the and numerators can be factored.

The numerator can be factored into x.

The denominator can be factored into

Like:

The (x+2)^2 cancel, leaving:

Which is basically:

Which simplifies to

Like this?:

step-by-step explanation: