Q. Simplify. Express your answer as a single fraction in simplest form. a4−8
Identify Expression: Identify the expression to be simplified.We have the expression a4−8. To simplify this expression and write it as a single fraction, we need to find a common denominator.
Find Common Denominator: Find a common denominator.Since a is the only denominator present in the first term and the second term is a whole number, we can rewrite the whole number with a as the denominator. To do this, we multiply 8 by a/a which is equal to 1 and will not change the value of the expression.a4−8×(aa)
Rewrite with Common Denominator: Rewrite the expression with a common denominator.Now we rewrite the expression with the common denominator a.a4−a8a
Combine Terms: Combine the terms over the common denominator.Since both terms now have the same denominator, we can combine them into a single fraction.(4−8a)/a
Check for Further Simplification: Check if the fraction can be simplified further. The numerator 4−8a and the denominator a do not have any common factors other than 1, so the fraction is already in its simplest form.
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