Evaluate (12.1)^2 - 12.1 12.1 .

We compute that (12.1)^2 = 146.41 = 146 and 12.1 12.1 = 12 12 = 144, so (12.1)^2 - 12.1 12.1 = 2.

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algebra intermediate

Problem

Evaluate

⌊(12.1)^{2} ⌋ - ⌊ 12.1 ⌋ \cdot ⌊ 12.1 ⌋ .

Solution

We compute that

⌊(12.1)^{2} ⌋ = ⌊ 146.41 ⌋ = 146

and

⌊ 12.1 ⌋ \cdot ⌊ 12.1 ⌋ = 12 \cdot 12 = 144,

⌊(12.1)^{2} ⌋ - ⌊ 12.1 ⌋ \cdot ⌊ 12.1 ⌋ = 2 .

Final answer