Simplify the rational expressions state any restrictions on the variable T2 plus T -6/10 2-9

Answer 1

To simplify the rational expression T^2 + T - 6 / 10^2 - 9, we first factor the numerator and denominator:

T^2 + T - 6 factors as (T + 3)(T - 2)
10^2 - 9 factors as (10 + 3)(10 - 3) which simplifies to 13 * 7

Therefore, the expression simplifies to:
(T + 3)(T - 2) / (13 * 7)

The restrictions on the variable T are:
T cannot equal 2 (to avoid division by zero)