Simplify (x+8)(24/x+12)

Problem

(x+8)*(24/x+12)

Solution

1. Distribute the first term x to both terms inside the second set of parentheses.

x⋅24/x+x⋅12

2. Simplify the terms resulting from the first distribution.

24+12*x

3. Distribute the second term 8 to both terms inside the second set of parentheses.

8⋅24/x+8⋅12

4. Simplify the terms resulting from the second distribution.

192/x+96

5. Combine all terms into a single expression.

24+12*x+192/x+96

6. Add the constant terms 24 and 96 to reach the final simplified form.

12*x+120+192/x

Final Answer

(x+8)*(24/x+12)=12*x+120+192/x

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