Question

Write three rational expressions that simplify to x/x+1

Answer 1

Answer:

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

(x^2 - x ) / ( x^2 - 1 )

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

Step-by-step explanation:

- There can be many rational expression that could simplify to:

                                      x / (x+1)

1 ) Multiply: (x+1) with numerator and denominator, we have:

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

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

2) Multiply: (x-1) with numerator and denominator, we have:

                                    x(x-1) / (x+1)*(x-1)

                                   (x^2 - x ) / ( x^2 - 1 )

3) Multiply: any constant, say 3 with numerator and denominator we have:

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

Answer 2

X^2 / x(x+1)

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

2x / 2(x+1)