Identify Terms: Identify the terms in the numerator and the denominator.In the expression (y2−35)/(14y), the numerator is y2−35 and the denominator is 14y.
Common Factors: Look for common factors in the numerator and the denominator.The numerator y2−35 does not share any common factors with the denominator 14y, other than potentially a factor of y, which we will explore in the next step.
Factor Out: Factor out the common factor in the numerator, if possible.The numerator y2−35 does not have a y term that can be factored out that would cancel with the y in the denominator. Therefore, the expression cannot be simplified by factoring.
Simplify by Division: Check if the expression can be simplified by dividing both the numerator and the denominator by any common terms.Since there are no common factors between y2−35 and 14y other than y, and y2−35 cannot be factored to include y in a way that would cancel out the y in the denominator, the expression is already in its simplest form.