Q. Simplify. Express your answer as a single fraction in simplest form. v2−8
Identify Common Denominator: Identify the common denominator for the fractions in the expression.Since the first term is v2 and the second term is −8 (which can be written as 1−8), the common denominator is v.
Rewrite with Common Denominator: Rewrite the expression with the common denominator.The first term is already over v, so it remains v2. The second term, −8, needs to be converted to have the denominator v, which is −v8v.
Combine Terms: Combine the terms over the common denominator.Now that both terms have the same denominator, we can combine them into a single fraction:(2−8v)/v
Simplify Numerator: Simplify the numerator if possible.In this case, the numerator 2−8v is already in its simplest form, so we cannot simplify it further.
Check for Common Factors: Check for any common factors in the numerator and the denominator that can be canceled out.There are no common factors between the numerator (2−8v) and the denominator (v), so the fraction is already in its simplest form.
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