Define the operation \(\star\) by \(a \star b = (a + b)b \). What is \((3\star5) - (5\star3)\)?
a*b = (a + b)b = ab + b^2
So
(3 * 5) - (5 * 3) =
[3*5 + 5^2] - [ 5*3 + 3^2] =
[ 15 + 25 ] - [ 24 ] =
40 - 24 =
16
Thanks to guest for catching my errors !!!!
CPhill: Did you make a mistake in the 2nd line?
[3*5 + 5^2] - [ 5*3 - 3^2] =Souldn't this read: [3*5 + 5^2] - [5*3 + 3^2]
[ 15 + 25 ] - [ 15 - 9 ] = [15 + 25] - [15 + 9] =40 - 24 = 16 ???