Q. Simplify. Express your answer as a single fraction in simplest form. q2+3
Identify Like Terms: Identify the like terms in the expression.Since 3 is a whole number and q2 is a fraction, we need to express 3 as a fraction with a common denominator with q2 to combine them. The common denominator will be q.
Convert Whole Number to Fraction: Convert the whole number to a fraction with the common denominator.To convert 3 to a fraction with denominator q, we multiply both the numerator and the denominator by q: 3×(qq)=q3q.
Rewrite with Common Denominator: Rewrite the expression with the common denominator.Now we have q2+q3q. Since they have the same denominator, we can combine the numerators.
Combine Numerators: Combine the numerators.Add the numerators together: 2+3q=3q+2.
Write Over Common Denominator: Write the combined numerators over the common denominator.The combined fraction is (3q+2)/q.
Check for Further Simplification: Check if the fraction can be simplified further. Since 3q+2 and q have no common factors other than 1, the fraction is already in its simplest form.
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