Q. Simplify. Express your answer as a single fraction in simplest form. a23+b
Identify Expression: Identify the expression to be simplified.We have the expression a23+b. To simplify this expression and write it as a single fraction, we need to combine the terms into a single denominator.
Find Common Denominator: Find a common denominator.Since a2 is already a denominator for the first term, and the second term b is not a fraction, we can treat b as b/1. The common denominator for a2 and 1 is a2.
Rewrite with Common Denominator: Rewrite both terms with the common denominator.We rewrite b as b×a2a2 to have the same denominator as the first term.So, the expression becomes a23+a2b×a2.
Combine Over Common Denominator: Combine the terms over the common denominator.Now that both terms have the same denominator, we can combine them into a single fraction:(3+b⋅a2)/a2.
Check for Simplification: Check if the numerator can be simplified.The numerator 3+bimesa2 does not have any common factors with the denominator a2, and there are no like terms to combine in the numerator. Therefore, the expression is already in its simplest form.
More problems from Simplify mixed rational expressions