AMC / AIME · AM-GM Inequality · Easy

AM-GM Inequality: For positive math with math, find the maximum possible math.

Means inequality.

Try the problem

For positive a,ba,b with a+b=10a+b=10, find the maximum possible abab.

Hint and answer

Concept to use

Two terms.

Hint

Isolate the variable; reverse the sign when multiplying by a negative.

Answer

25

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