(5) \( a^{2}+a b+a x= \)

To factor the expression \( a^{2} + ab + ax \), you can start by recognizing that both \( ab \) and \( ax \) share the common factor \( a \). This allows us to group the terms effectively: 1. Rewrite the expression: \( a^{2} + a(b + x) \). Now it’s clear! The expression can now be expressed as \( a(a + b + x) \). Another fun twist: consider substituting specific values for \( b \) and \( x \) that could relate to a real-life scenario, like calculating areas or fields, which could lead to some interesting applications in physics or economics! Also, practicing issues where variables have practical meanings (like adding dimensions together) or visualizing them geometrically can ease the factoring process. Just be careful with signs—negative factors can trip you up if you're not careful!