Question

suprime los signos de agrupacion y efectua la operacion indicada:
a.-[-4+(5x-8)]
b.-{[a+b]+[a-b]-(-a+b)}
c.-{-[-(m+n)-(m-n)]}
d.-{-[-(-x)]}+2x
e.-[-3a+{-a-(2b-3)}]+{-(2a+b)+(-a-3)+2-(x+y)}

Answer 1

a.-[-4+(5x-8)] = -[-4+5x-8] = 4-5x+8 = -5x +12

b.-{[a+b]+[a-b]-(-a+b)} = -{[a+b]+[a-b]+a-b} = -{a+b+a-b+a-b} = -a-b-a+b-a+b = 
-3a + b

c.-{-[-(m+n)-(m-n)]} = -{-[-m-n-m+n]} = -{+m+n+m-n} = -m-n-m+n = -2m

d.-{-[-(-x)]}+2x = -{-[x]}+2x = -{-x}+2x = x+2x = 3x

e.-[-3a+{-a-(2b-3)}]+{-(2a+b)+(-a-3)+2-(x+y)} =
 -[-3a+{-a-2b+3}]+{-2a-b-a-3+2-x-y} =  3a-{-a-2b+3}+{-2a-b-a-3+2-x-y} =
3a+a+2b-3-2a-b-a-3+2-x-y = a+b-x-y-4