Final answer:
To simplify the rational expression (x^(2)+10x+21)/(x^(2)+17x+70), factor both the numerator and the denominator. Cancel out the common factor (x+7) to simplify the expression to (x+3)/(x+10).
Step-by-step explanation:
To simplify the rational expression (x^(2)+10x+21)/(x^(2)+17x+70), we need to factor the numerator and the denominator. The numerator x^(2)+10x+21 can be factored as (x+7)(x+3), while the denominator x^(2)+17x+70 can be factored as (x+10)(x+7). We can then cancel out the common factor (x+7) and simplify the expression to (x+3)/(x+10).
Learn more about Simplifying Rational Expressions