Question

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

Answer 1

x^2 / x(x+1)

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

2x / 2(x+1)

Answer 2

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

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

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

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)