Question

Simplify:

(y^3+3y - 70)/ (y^3-49)

Answer 1

To simplify the expression (y^3+3y - 70)/ (y^3-49), factor both the numerator and denominator and then cancel out the common factors.

Step-by-step explanation:

To simplify the expression (y^3+3y - 70)/ (y^3-49), we can factor both the numerator and denominator.

The numerator can be factored as (y+7)(y^2-7y+10) and the denominator can be factored as (y-7)(y^2+7y+49).

Now we can cancel out the common factors of (y+7) and (y-7). Therefore, the expression simplifies to (y^2-7y+10)/(y^2+7y+49).