Final answer:
The factored form of rr² - r³ is r²(r - r) or simply 0. This mathematical concept applies to physics in contexts such as pipeline flow, where r² represents the cross-sectional area and is integral in flow rate calculations.
Step-by-step explanation:
The question deals with the factoring of the mathematical expression rr² - r³. The factored form of this expression is r²(r - r), which simplifies to r² times 0, and hence is 0. This concept ties into the calculation of flow rates in physics, particularly in reference to a pipeline flow problem, where it's essential to consider cross-sectional area and its application in formulas such as the flow rate equation. The flow rate equation can include terms with r² since this is dimensionally consistent with an area, which is key for solving problems involving angular velocity.
To relate this to the problem provided, we see that r² is used as a measure of cross-sectional area within the equation and is vital for determining the flow rate. This can be further connected to concepts such as volume flow rate and torque when the radius, r, plays a significant role in the equations.