SOLUTION: can you help me simplify this problem {{{ (3/5-2/5)^2+(3/2)(-1/5) }}}

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: can you help me simplify this problem {{{ (3/5-2/5)^2+(3/2)(-1/5) }}}      Log On


   



Question 206174: can you help me simplify this problem
+%283%2F5-2%2F5%29%5E2%2B%283%2F2%29%28-1%2F5%29+

Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
+%283%2F5-2%2F5%29%5E2%2B%283%2F2%29%28-1%2F5%29+
First: (3/5)-(2/5) = (3-2)/5 = 1/5. So, (3/5-2/5)^2 = (1/5)^2 = 1/25 = 2/50
Then: (3/2)(-1/5)=(-1*3)/(2*5) = -3/10 = -15/50
Thus, +%283%2F5-2%2F5%29%5E2%2B%283%2F2%29%28-1%2F5%29+ is equal to (2/50)+(-15/50)=(2-15)/50= -13/50
Power up,
HyperBrain!