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Find the decisative\newliney23514y\frac{y^{2}-35}{14y}

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Q. Find the decisative\newliney23514y\frac{y^{2}-35}{14y}
  1. Identify Terms: Identify the terms in the numerator and the denominator.\newlineIn the expression (y235)/(14y)(y^{2}-35)/(14 y), the numerator is y235y^2 - 35 and the denominator is 14y14 y.
  2. Common Factors: Look for common factors in the numerator and the denominator.\newlineThe numerator y235y^2 - 35 does not share any common factors with the denominator 14y14y, other than potentially a factor of yy, which we will explore in the next step.
  3. Factor Out: Factor out the common factor in the numerator, if possible.\newlineThe numerator y235y^2 - 35 does not have a yy term that can be factored out that would cancel with the yy in the denominator. Therefore, the expression cannot be simplified by factoring.
  4. Simplify by Division: Check if the expression can be simplified by dividing both the numerator and the denominator by any common terms.\newlineSince there are no common factors between y235y^2 - 35 and 14y14y other than yy, and y235y^2 - 35 cannot be factored to include yy in a way that would cancel out the yy in the denominator, the expression is already in its simplest form.

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