PMO Question
Algebra
Level
2
Define the operations ♣ and ♥ by a ♣ b = ab - a - b and a ♥ b = a^2 + b -ab. What is the value of (-3 ♥ 4) - (-3 ♣ 4)?
38
12
-38
-12
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1 solution
♥ to ♥ ; ♣ to ♣....a = -3 and b = 4 , then substitute...(a ♥ b) = a^2 + b - ab.. (a ♣ b) = ab - a - b.............. (-3 ♥ 4) = (-3)^2 + 4 - (-12) = 9 +4 +12 = 25........................(-3 ♣ 4) = (-12) - (-3) - 4 = -13............(-3 ♥ 4) - (-3 ♣ 4) = 25 - (-13) = 25 + 13 = 38 ☻☻☻