simplify the complex fraction x/x+3/1/x+1/x+3

Answer 1

To simplify this complex fraction, we need to find a common denominator for the two fractions in the numerator and multiply:

x/(x+3) + 1/(x+3) = (x + 1)/(x+3)

Then, we can rewrite the denominator as a single fraction with a common denominator:

1/x + 1/(x+3) = (x+3+x)/(x(x+3)) = (2x+3)/(x^2+3x)

Putting it all together:

x / ((x+3)/(x+1) + (1/x + 1/(x+3)))

= x / ((x + 1)/(x+3) + (2x+3)/(x^2+3x))

= x / (((x+1)(x^2+3x)/(x+3)) + ((2x+3)(x+1)/(x+3)(x^2+3x)))

= x / ((x^3 + 5x^2 + 4x + 3)/(x^3 + 3x^2))

= x^4 + 3x^3 / (x^3 + 5x^2 + 4x + 3)

Answer 2

whats the final answer

Answer 3

The final answer is:

x^4 + 3x^3 / (x^3 + 5x^2 + 4x + 3)