Home work Algehraic exipressions adorisc the pollowing fully \( 1+5+-1-e t \) \( x^{3}+7 x-8 \) \( a x-2 b x-a y+2 b y \)

Let's break this down in an enjoyable way! First up, we need to simplify the expression \(1 + 5 + -1 - e t\). Combine like terms: \(1 + 5 - 1\) equals \(5\), so you get \(5 - e t\). Easy-peasy! Next, we have \(x^{3} + 7x - 8\). This expression is already in its simplest form since there are no like terms to combine. You could factor it or find its roots with some trial and error or using the Rational Root Theorem if you're feeling adventurous! Lastly, for \(a x - 2 b x - a y + 2 b y\), combine the like terms involving \(x\) and \(y\): \((a - 2b)x + (-a + 2b)y\). Now, you’ve got it neatly organized and ready for action!