"Four less than twice the quantity of three more than a number, squared".

Let's break it down! If we let the unknown number be represented as \( x \), then "three more than a number" translates to \( x + 3 \). Next, we have to square that: \( (x + 3)^2 \). Now, we take twice that quantity: \( 2(x + 3)^2 \). Finally, we subtract four from it: \( 2(x + 3)^2 - 4 \). There you have it—a nice algebraic expression that captures the essence of your phrase! To see this expression in action, consider substituting various values for \( x \). For example, if \( x = 1 \), you would compute \( (1 + 3)^2 \), which gives you 16, then multiply by 2 to get 32, and finally subtract 4 to arrive at 28. It’s a great way to explore how changes in \( x \) affect the outcome—an excellent exercise in both algebra and critical thinking!