Question

Aratati ca valoarea expresiei nu depinde de x
E(x)= |4x-8| -2|4-2x|

Answer 1

$E(x)= |4x-8| -2\cdot|4-2x| \\ \\E(x) =|4x-8|-|2|\cdot |4-2x| \\ \\ E(x) = |4x-8|-\big|2\cdot (4-2x)\big| \\ \\ E(x) = |4x-8|-|8-4x| \\ \\ E(x) = |4x-8| - |4x-8| \\ \\ E(x) = 0$

Answer 2

E(x)=|4(x-2)|-2×|-2x+4|
E(x)=4×|x-2|-2×2×|x-2|
E(x)=(4-2×2)×|x-2|
E(x)=(4-4)×|x-2|
E(x)=0×|x-2|
E(x)=0