Question 1175603: 2. Given the binary operation a*b=2a2 - b, find -2*1 (show Solution)
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!
Note: Use "^" to denote exponentiation. E.g., "2a^2" for 2 a squared, instead of "2a2".
Given the definition
a*b = 2a^2-b,
if a=-2 and b=1 then
a*b = (-2)*1 = 2(-2)^2-(1) = 2(4)-1 = 8-1 = 7
This kind of statement looks strange the first couple of times you see it. But it's quite simple.
The definition "a*b = 2a^2-b" simply tells you that if you have two numbers a and b, the value of a*b is found by squaring the first number, doubling it, and subtracting the second number.
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