"Two" makes a Team!

Algebra Level 3

Exactly one pair of brackets is to be inserted into the expression 2 × 2 2 × 2 2 × 2 2 × 2 2 × 2 2\times2-2\times2-2\times2-2\times2-2\times2 . The left bracket must come just before a 2 and the right bracket just after a 2. Determine the largest possible value of the resulting expression.

4 36 20 1024

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1 solution

The best way to proceed is inspection. There is no sense to put any 2x2 between brackets. A better option is to have something like ...2(...) .... A positive answer is expected which leads to 2×2−2×(2−2×2−2×2−2)×2 = 36.

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