Maths Olympiad Prep

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Problem 445

Algebra Difficulty 2.2 Find the answer CEMC Fermat

What is the value of $(5
abla 1)+(4
abla 1)iftheoperation if the operation k
abla misdefinedas is defined as k(k-m)$?

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

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Official solution

From the definition, $(5
abla 1)+(4
abla 1)=5(5-1)+4(4-1)=5(4)+4(3)=20+12=32$.

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