Simplify (x+8)(36/x+8)

Problem

(x+8)*(36/x+8)

Solution

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

x⋅36/x+x⋅8

2. Simplify the terms resulting from the first distribution.

36+8*x

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

8⋅36/x+8⋅8

4. Simplify the terms resulting from the second distribution.

288/x+64

5. Combine all terms into a single expression.

36+8*x+288/x+64

6. Combine like terms by adding the constant values 36 and 64

8*x+100+288/x

Final Answer

(x+8)*(36/x+8)=8*x+100+288/x

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