Q. Simplify. Express your answer as a single fraction in simplest form. s24+5
Identify Given Expression and Goal: Identify the given expression and the goal.We have the expression s24+5. Our goal is to combine this into a single fraction in simplest form.
Find Common Denominator: Find a common denominator for the two terms.Since 5 can be written as 15, we need to find a common denominator for 1 and s2. The common denominator is s2.
Express 5 as Fraction: Express 5 as a fraction with the common denominator s2. To do this, we multiply both the numerator and the denominator of 15 by s2, which gives us s25s2.
Rewrite with Common Denominator: Rewrite the original expression with the common denominator.Now we have s24+s25s2. Since they have the same denominator, we can combine them into a single fraction.
Combine Numerators: Combine the numerators over the common denominator.We add the numerators and keep the common denominator, which gives us (4+5s2)/s2.
Check for Further Simplification: Check if the fraction can be simplified further. In this case, the numerator 4+5s2 and the denominator s2 do not have any common factors other than 1, so the fraction is already in simplest form.
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